I can think of two other worm songs:

"Where 'as tha been since I saw thee? I saw thee?"
"On Ilkley Moor baht 'at"
"Where 'as tha been since I saw thee?....etc"

"Tha's going to catch thee death of cold.
On Ilkley Moor baht 'at...etc"

"Then we shall have to bury thee.
On Ilkley Moor baht 'at...etc"

"Then worms 'll come and ate thee up.
On Ilkley Moor baht 'at...etc"

"Then ducks'll come and ate up worms
On Ilkley Moor...etc"

"Then we shall come and ate up ducks
On Ilkley Moor...etc"

"Then we shall all have aten thee
On Ilkley Moor...etc"