“A guy walks into a bar with his pet alligator…” (bar joke)

There is a combination bar joke and lawyer joke. The “Do you serve lawyers here?” joke has been cited in print since at least 1994 and is of unknown authorship.
 
   
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Greg Fife
11/23/94
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Frequently Told Jokes List for alt.virginia.bashing.lawyers:
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A man walked into a bar with his alligator and asked the bartender, “Do you serve lawyers here?”.
“Sure do,” replied the bartender.
“Good,” said the man.  “Give me a beer, and I’ll have a lawyer for my ‘gator.”
 
24 September 1995, Northwest Florida Daily News (Fort Walton Beach, FL), “Lawyer jokes back in season” by Bill Campbell, pg. B1, col. 1:
A man walked into Docie’s with an alligator and asked the bartender, “Do you serve lawyers here?”
 
“All the time,” said the bartender.
 
“Fine. I’ll have a beer and give my ‘gator a lawyer.”
 
Google Books
Lawyers and Other Reptiles II:
The Appeal
By Jess M. Brallier
Chicago, IL: Contemporary Books
1996
Pg. 58:
A man walked into a bar with his alligator and asked the bartender, “Do you serve lawyers here?”
 
“Sure do,” replied the bartender.
 
“Good,” said the man, “give me a beer and my ‘gator will have a lawyer.”
 
Google Books
A Guy Walks Into A Bar…:
501 Bar Jokes, Stories, Anecdotes, Quips, Quotes, RIddles and Wisecracks
By Michael Lewis
New York, NY: Black Dog & Leventhal Publishers, Inc.
2005
Pg. 75:
A man walks into a bar with his pet alligator. He asks shot my paw. the bartender, Do you serve lawyers here?
 
Yes, we do! Good.
 
Give me a beer, and I ll have a lawyer for my alligator.
 
Google Books
Man Walks into a Bar:
Over 6,000 of the Most Hilarious Jokes, Funniest Insults and Gut-Busting One-Liners
By Stephen Arnott and Mike Haskin
Berkeley, CA: Ulysses Press
2007
Pg. 246:
A man walks into a bar with an alligator. He says to the bartender, “Do you serve lawyers here?” “Sure do,” replies the bartender. “Good,” says the man. “Give me a beer, and a lawyer for my ‘gator.”
 
Google Books
The Lawyer’s Joke Book:
There Are Some Things a Rat Just Won’t Do
By John Patrick Dolan and Dale Irvin
Charleston, SC: Advantage Media Group, Inc.
2008
Pg. 12:
A man walked into a bar with his pet alligator on a leash and asked the bartender, “Do you serve lawyers here?”
 
“Sure do,” replied the bartender.
 
“Good,” said the man. “Give me a beer, and I’ll have a lawyer for my gator.”