Does anyone know a sung version of "It's raining, it's pouring, the old man is snoring.." where that rhyme serves as the chorus and other nursery rhymes are the verses? I can only remember two verses:

Won't be my father's Jack
No I won't be my mother's Jill
I'll be a fiddlers wife
And fiddle when I will

Ladybug, lady bug
Fly away home
Your house is on fire
ANd your children they will burn

Does anyone know where I would have heard this, and if there are other verses?