I am trying to identify an old slot machine game. It was either a dos game or one of those games that booted straight from the floppy with no OS. It would have been 80 or very possibly early 90s in terms of release and would have come on a 5.14" floppy (or been copied onto one from somewhere).

The thing I remember most about it is that it had Camptown Races as one of the music songs. I am trying to find this old game so I can then identify the other music tracks it had along with Camptown Races...

Have you looked through this list? Maybe you'll recognize a screenshot on one of the linked game pages:
http://www.mobygames.com/game-group/slot-machine-games/offset,25/so,1d/

(Note that the list is three pages long. I've linked to the second page, the 1993-1981 time period.)

None of the games on that list seem like they are the one I remember.