ST3920        Burl Ives' Animal Folk
        1963        Disneyland Records        Format: LP, gatefold cover, 12 page book

Of course it's currently out of print. Try finding it on ebay. Great album. I will always remember it from my childhood. It had a lot of oddball songs on it.
"The mule would say eee-aah, with a mouth full of rubber boot."
"Mister rabbit, mister rabbit. Your ears are mighty large."
"The black and white pidgeon with the eight red toes goes round and round and round" [previously mentioned].
"Oh what can you do in a case like that? What can you do but sit on your hat, or your suitcase, or your grandmother, or anything else that's helpless?"
Really weird stuff!