I thought I had posted this to the forum, but I can't find it now. It is the original song from an old Australian children's nursery song book that is "Warm Kitty" (which was adapted by The Big Bang Theory).

WARM KITTY
words Edith Newlan
tune Adapted English Folk

Warm kitty, soft kitty,
Little ball of fur,
Sleepy kitty, happy kitty,
Purr, purr, purr.

Scanned image of the old book is HERE.

Under that song is:

By the fire pussy's lying,
Curled up fast asleep,
Leave your toys until tomorrow,
Hurry off to bed - quick.

Alice