Yes folks an update! I've discovered the origin of the Sloppy Joe cocktail. This is something I think I should have come across earlier but did not. What are you gonna do?
Anyway, there was a bar in Havana called Sloppy Joe's. Supposedly it was a tourist trap. (There is currently a Sloppy Joe's in Florida). In addition to the cocktail I've mentioned before there is also a Sloppy Joe #2. There's even a book about the bar. How 'bout that. A (very) little research goes a long way. Cheers!