Click here to see a couple of versions that are in the DT database.
I may be able to get words to one or two more versions including Aaron Copeland's' from my wife who is not above singing this song once in a while. But really you've got about all you need - just substitute an animal name for "Cat" and the appropriate sound for "fiddle I dee" and you've got the song. For example "duck" and "wack, wack"; "horse" and "Neigh, neigh" etc. The last verse is indeed "wife" and the sound is "Honey, Honey" in the Copland version.