The Band's song is "Up on Cripple Creek"

The old-timey song is Cripple Creek:

[Frailed, on a banjo, in G]

Goin' up Cripple Creek, Goin' on a run
Goin' up Cripple Creek, To have a little fun

Goin' up Cripple Creek, Goin' in a  whirl
Goin' up Cripple Creek, To see me girl

Cripple Creek's wide and Cripple Creek's deep
Could wade ol' Cripple Creek in my sleep

tk