In front of the king and queen of Athens, with two people dressed as baboons and with a mad gaoler's daughter joining the troupe at the last moment!

Sounds very much like every morris dance I have ever seen - at least in the same spirit.

Also reminds me of the entertainment provided at Hernia's & Lysander's wedding in "Midsummer Night's Dream" ... (morris dance instead of burlesque play, but the emphasis still seems to be on burlesque!)

And Theseus was at both!

True! :D