The song Betsy and Randy sing "Wait for the Wagon" is the one used for their credit sequence at the beginning of the shows they were in.
Footage from the dance where Betsy and Randy sang 'Wait For The Wagon' was re-used from an older episode as evidenced by the appearances of Trampas, Betsy, and Randy who didn't appear anywhere else in the episode.
William Bramley and Martin Milner play father and son in this episode despite being only three years apart in age