I've looked on Google for several minutes, but I can't find a plausible reason, nor any immediately useful things to follow up.
(I understand "Don't bogart that joint" to mean "Pass the [cannabis] joint over to me!").
Any explanations as to where it came from?
Best Answer
The Online Etymology Dictionary says:
The Oxford English Dictionary says it is "with allusion to Bogart's frequent on-screen smoking, especially to the long drags he took on cigarettes" and has it from a year earlier:
Here's the song's lyrics: