Other bawdy songs that use this common progression can be found in Cray.
Yo ho, yo ho and Billy go leary

And I remember from 60s folk clubs a version of 'Bound for Baltimore' that had it.

'Yo ho' I remember from the 50s. It went to the tune of 'Johnny I hardly knew ye'

I put me hand upon her toe, yo ho, yo ho,
I put me hand upon her toe, yo ho, yo ho
I put me hand upon her toe
She said young man you're rather low,
Stick it in, stick it out, stop muckin about,
Yo ho, yo ho.

Vaguely remember the progression was 'calf, knee, thigh, (Can't remember the last one.) but there's a version in Rugby Songs