The one I knew was:

Aunt Mary had a canary
She also had a duck
She took it behind the kitchen door
And taught it how to ...
Fry the eggs and bacon
(missing line(s) - can't remember)
Leave it alone
And play with your own
And paddle your own canoe

I think Ian Turner had it in his 'Cinderella Dressed in Yaller' collection of Australian children's rhymes.

--Stewie.