The Burl Ives album this song is on is called "Animal Folk" on Disney records. It's a great album with a cool book of illustrations and lyrics inside the gatefold.
I found it on ebay and have seen it there again. It's definately worth seeking out - a great record.
My children's music band does 5 songs from it:
Black and White Pigeon
The Whale Song
The Crocodile Song
Where's Joe
The Owl and the Pussycat