I previously posted a link to Llewtrah's bawdy ballad site, which contains several versions of this monologue, mostly shorter but which do contain some other elements.

I myself remember a fourth day, when Daniel was asked how is it?
It aches said Daniel
What aches said the Queen (or whoever it was in that version)
Boll-aches said Daniel

Does anyone have any history? I remember it from school in the 1950's, but it must quite old, judging from the variations of the text.