Depends on your definitions of 'bawdy'
Virtually (if that's the word) all the versions from oral tradition give the lovers as having made 'the beast with two backs' and in the process of enjoying a kip, but that, as far as I can find, is it - 'if you want any more you can sing it yourself' as the song says.
Bronson's 'Traditional Tunes of the Child Ballads' sadly out of print and extremely rare, gives the most comprehensive collection of texts - 74 in all.