The Band's "[Up On] Cripple Creek" is a recent composition, but there is at least one much older and completely different "Cripple Creek." In fact, there 's a good one on a Buffy Ste. Marie album from the mid-1960s ~ I believe she recorded it accompanied only by mouth-bow, very minimal instrumentation.

As GUEST mentioned, the town of Cripple Creek Colorado became notable only during the 1890s gold rush and probably didn't exist much earlier than that, so the song is very unlikely to have existed earlier than that. I suppose it's possible that the tune existed with different lyrics, but then that wouldn't be the same song, would it?