Writing the bedroom rhymes has sent me back to the Annotated Mother Goose, which contains not only the original rhymes and notes on their origin, but also alternative versions and parodies. On page 112 I found this:
Old Mother Hubbard
Went to the cupboard
To fetch her poor daughter a dress,
But when she got there
The cupboard was bare,
And so was her daughter, I guess.
Wish I'd thought of that.