You may be looking for Dr. McCoy's Medical Log or The Medical Log.
McCoy's Illegible Log is a gen Star Trek: TOS anthology.
cover of issue one, T.J. Burnside
McCoy's Illegible Log 1 was published in 1977 and is 44 pages long. It was reprinted, along with the contents of issue #2 in 1979 (see below).
- Dedication (5)
- Moira by Brenda Harper (McCoy returns to an old love to find a son he did not know existed.) (6)
- The Oldest Trekker by Florence White (24)
- McCoy's Daughter by Charlie Terry (McCoy and his daughter find it difficult to serve together on the Enterprise.) (25)
- Discovery by Charlie Terry ( 34)
- Doves by Charlie Terry (35)
- McCoy Thoughts (2 pages) (36)
- They Call You Healer by D. Braun (38)
- K/S/M Relationship (39)
- A Glass of Brandy by Dusty Sicotte (40)
- zine ads (42)
- Bones by Joann Moris (43)
- Untitled by D. Chapman (43)
- art by T.J. Burnside (cover), Joann Morris, Gennie Summers, Cathy Alling, Debby Chapman, Randy Ash, Laurie Huff, Charlie Terry, Diana Stahl and Marilyn Johanson
Reactions and Reviews: Issue 1
A first attempt -- and it shows -- but promising. The most serious lack was in the technical editing (spelling, punctuation, etc.). 'Moira,' a McCoy romance, was fairly good; 'McCoy's Daughter' was only fair in writing style but good in originality; 'McCoy's Thoughts' was a story which seemed more like a teaser - what happened? It may have been the first of a series, the editors didn't say. The poetry is affectionate but mediocre; the artwork, slight better, but it deserved much better reproduction. 
McCoy's Illegible Log 2 was published in 1977 and contains 40 pages.
- On The Whole, I'd Rather Be In Philadelphia by Ingrid Cross, 8 pgs - McCoy has a week's leave on Earth which includes a reunion with his ex-wife and his daughter.
- A Special Leave by Teri Howard, 15 pgs - McCoy shares a leave with Kirk, Uhura and T'Ling, a Vulcan nurse who does not act as most Vulcan's do.
Issue 1 and 2
McCoy's Illegible Log 1 and 2 was reprinted in 1979.
Reactions and Reviews: Issue 1 and 2
The copy I viewed is a photocopied "revised double issue" which claims to have all the stories and poems of #1 and #2, but Trexindex names a couple of stories/articles that were not in it.]
- McCoy's Daughter / McCoy's younger daughter Andi is in engineering on the Enterprise, leading to conflict over her choice of careers.
- McCoy art portfolio
- A Special Leave / McCoy spends an enforced leave with his Vulcan/Human nurse, T'Ling. Standard fare.
- Moira / McCoy operates on his son Lin
- On the Whole, I'd Rather Be in Philadelphia / McCoy & ex-wife Arianna both wind up at Jo's for an uncomfortable week. In this storyline, Arianna had killed one of McCoy's colleagues in a fit of unfounded jealousy, and spent years in a mental institution as a result. 
McCoy's Illegible Log 3 was published in 1978 and contains 40 pages.
- Medical Log (3)
- Dear Patty, poem by Marian Kelly (4)
- LOCs (6)
- The Convention by The Lonely Trekker (9)
- The Unexpected Ceremony by Elaine Norwood (A McCoy, Christine romance.) (11)
- McCoy in Wonderland by The White Mouser (16)
- Old Love, New Love by Carol Crunk (McCoy finds himself drawn to Dr. Jocelyn Harris, an archaeologist who strongly resembles Gem.) (18)
- The Healer by Carol Crunk (32)
- Trivia Page (35)
- Excepts from the Automatic Bridge Log by The Lonely Trekker by (37)
- ads (39)
McCoy's Illegible Log 4 was published in 1979.
- Medical Log by Debby Chapman- editorial
- One of a Kind by Carol Christenson (McCoy and Kirk help Sulu after his is arrested for trying to help a young girl. She is the product of a genetic experiment and apparently being mistreated by the scientist who created her.) p. 2-18
- The Real McCoy by Dee Martin. p. 19 (riddles)
- Joanna, poem by Marge Robbins (21)
- art by Ruth Kurz
- The Man Trap, poem by Debborah Goldthwaite (23)
- Personal Log by Jeffrey Brockman, p. 24-25
- It is Not Illogical , story by Marge Robbins, art by Shona Jackson (28)
- Where is the Welcome Mat, p. 32-34 (reprint of TV guide article about De Kelley)
- Terse Verse, poem by Dee Martin (35)
- McCoy, poem, Debborah Goldthwaite (36)
- The Pink Grink by Susan Wyllie, art by Susan Wyllie (A Grink is a large, fat, furry pink animal with 6 eyes, stubby legs, and a long prehensile tail. It has been given to Kirk and he has appointed McCoy the one to find a home for it.) p. 37-46
- Sounding Board, poem by Ruth Kurz (49)
- ads (51)
- art by Teresa Harper, Diann Klink
Reactions and Reviews: Issue 4
- One of a Kind / Sulu rescues a girl who does not register on sensors from a breeding experiment, and is charged with kidnapping. Has a nice twist.
- The Real McCoy / (riddles)
- Personal Log / McCoy attempts to apply itching powder to Spock
- Where is the Welcome Mat / reprint of TV guide article about De Kelley
- The Pink Grink / McCoy gets a new pet and winds up in jail on a solicitation charge
...Plus the usual C-minus poetry. 
Unreduced offset, all McCoy oriented, flimsy covers, 2-hole punch with brass brads, one page of zine ads, 4 unnumbered pages of "Midnight Portraits" ad.
The chief strength of this short zine is in its fiction, with Carol Christenson's long story and Susan Wyllie's short one supplying fine entertainment. Unfortunately these only account for 26 pp, leaving brief,
trite and poorly done "poetry" and many inches of blank
white space to fill up the balance. Ruth Kurtz's 8 pp
of artwork is mostly good, though unoriginal, and I don't share the editor's enthusiasm for "Midnight Portraits" — they bear little resemblance to the cast members — and McCoy has grounds for a libel
suit for misrepresentation for his so-called cover portrait; it is incredibly awful. One whole
expensive page of this zine is devoted to the edi
tor's fulsome praise of and advertising for two of
her artists should not be necessary, as their work should speak for itself, and certainly not
what zine buyers want to pay for. Debra is considering mimeo with offset used only for artwork for issue #5. which is to have an adult theme and requires an age statement. Mimeo should bring her costs down and give the reader more for the money.
Having gotten this said, let me admit that the quality of Carol's 17 page "One of a Kind" and the witty and original Susan Wyllie "The Pink Grink" kept me from feeling I wasn't getting my money's worth — particularly since this is the only current McCoy zine extant, as far as I know. "One of a Kind" involves the Doctor and his Captain with a hybrid alien girl whom Sulu has impulsively rescued from what he thinks are the unwelcome advances of an elderly lecher. When the "lecher" turns out to be the legal guardian of the 14-year-old girl, the "advances" a form of genetic experimentation, it's all hands on deck for an imaginative and permanent rescue that doesn't cause diplomatic or professional complications. If the ending is a little pat, it's forgivable in the delight of such good character handling by the author.
"The Pink Grink" is another winner, warm and entertaining. Seems Kirk has been given this diplomatic present — a six-eyed little warm blooded varmint, a sort of cross between an opossum and a house cat — which sheds pink fuzzballs all over everything and screeches with ear-splitting shrieks when displeased. Thanks to McCoy s casual sympathy, he gets stuck with the critter, and the story of his tribulations takes off from there while they search for a suitable habitat and new owner for "Claude." McCoy winds up in jail on Canopus among other places, and the whole story is fun. In short, this can be a fine little zine when Debra manages to bring her costs down by better layout and cheaper printing, drops off the page-eating bits of "poetry," keeps ads in their place.I look forward to #5. 
front cover of issue #5, Theresa Harper
back cover of issue #5, Theresa Harper
McCoy's Illegible Log 5 was published in 1981. Cover and back cover by Theresa Harper
- Medical Log (editorial) by Debra Chapman, p. 2
- Space Legs by Julie McCoy (Kevin Riley has a problem adjusting to space when he first arrives on the Enterprise and McCoy seeks a means to help him.) p. 3-9
- Precious Days ... and Magnolias by Lori Beatty (Tanya Barrows and Leonard McCoy review their feelings for each other following the adventure on the Shore Leave planet.) p. 10-15 (also in Rx McCoy)
- The Odds by Marion McChesney, p. 17
- Even Now by Lori Beatty (Nancy Crater meets the last of the salt creatures in the form of Leonard McCoy.) p. 21-25 (also in Rx McCoy)
- The Rayne Tree by Lori Beatty (McCoy meets a treasured friend from years ago. In the course of their conversation he learns a secret that she has kept for all those years. A secret that could Correspondence over several years between Leonard McCoy of Earth and his penpal, T'Parn of Vulcan have drastically changed the doctor's life.) p 27-31 (also in Rx McCoy)
- The Lark by Lori Beatty (On the night before she will receive her first Starfleet assignment, a young Ensign puts on something 'clingy and sexy' and sets off for the most renouned and expensive nightspot on the starbase. During this evening she is attracted to Dr. McCoy, but there are repercussions when she is assigned to the Enterprise.) p 33-37 (also in Rx McCoy)
- Love's Guidance by Ginnie (McCoy and Natira's first night together.) p. 39-43
- One Life by Lori Beatty (Tearful farewell as McCoy is about to return to the Enterprise and Natira remains to guide her people.) p. 45-49 (also in Rx McCoy)
- Natira's Lament by Lori Beatty, p 50
- Of Lyre and Lymphoid Tissue by Julie McCoy (McCoy has returned from the paradise planet with a new set of tonsils thanks to the spores. They promptly become infected and need to be removed. Following surgery, McCoy is astonished by a visit from Spock who brings his lyrette to play for the doctor.) p 52-58
- Excerpts from a Correspondence by Julie McCoy (Correspondence over several years between Leonard McCoy of Earth and his penpal, T'Parn of Vulcan.) p 60-66
- Art Portfolio
McCoy's Illegible Log 6 was, according to Halliday's Zinedex, to be issued in 1984. This edition was published by both Debra Chapman and Catherine P. Smullen.
- Each a Star by Madalena A. Mumford
- It's All Done with Mirrors, part one of three by Kathryn Anne Evans
- other unknown content?
Special Issue 1
McCoy's Illegible Log Special Issue 1 is a novel called Starwind Rising.
- This was to be a novel by Kathryn Anne Evans published around 1985. The covers were to be by Frank V Liltz, interior illustrations by Mel White.
"After three hundred years, they will become... as Dr. McCoy is.' 'Bones?' He nodded. 'It's true, Jim."
This zine was to have been printed when deposits for 50 orders were received. It is unknown if this occurred.
Special Issue 1/2
McCoy's Illegible Log 1/2 was published in 1979 and combined the contents of previous editions of #1 and #2.
- McCoy's Daughter / Charlie Terry, p 3-7.
- McCoy art portfolio, p. 11-33
- A Special Leave by Teri Howard (McCoy shares a leave with Kirk, Uhura and T'Ling, a Vulcan nurse who does not act as most Vulcan's do.) p 37-47
- Moira / Brenda Harper (from issue #1) p. 50-61
- On the Whole, I'd Rather Be in Philadelphia by Ingrid Cross (McCoy has a week's leave on Earth uhich includes a reunion uith his ex-wife and his daughter.) p. 63-68
- ↑ from Scuttlebutt #2
- ↑ Halliday’s Star Trek Zinedex (TOS) - Title Index, Archived version
- ↑ Halliday’s Star Trek Zinedex (TOS) - Title Index, Archived version
- ↑ review by Dixie G. Owen in The Clipper Trade Ship #28 (1980)