I am willing to bet you will find a plentitude of naughtiness to round if you tap resources in the Rennfaire, Filk or Society for Creative Anachronism communities, should you have such contacts.
At a round singing party, an early music scholar brought in several Purcell catches - a catch essentially being a round. There was one about "Joan" (which we found humorous because that is his wife's name) but the one I'd known from a favourite album was in thr DT as follows:
CAKES AND ALE (CATCH)
(1) I gave her cakes and I gave her ale I gave her sack and cherry I kissed her once and I kissed her twice And we were wanderers merry
(2) I gave her beads and bracelets fine And I gave her gold down derry I thought she was a-feared when she struck my beard And we were wanderers merry
(3) Merry me hearts, merry me cocks, merry me sprites Merry, merry, merry, merry, merry me hay down derry I kissed her once and I kissed her twice And we were wanderers merry
------------------------------------------------------------ A catch by Henry Purcell recorded by the Silly Sisters (June Tabor & Maddy Prior) on "No more To The Dance" (1988)