At last I know what the song sounds like! Thanks to the previous GUEST who found THE LUNATIC'S LULLABY recorded in 1926 by Harry Reser and His Orchestra (under the pseudonym Seven Wild Men), at The Internet Archive. Actually, the "song" is rhythmically recited rather than sung, in time with the music. (Is there a name for this kind of performance?)

Here's my transcription:


Listen, we're not crazy!
[music starts]
Now, I was born at night one morn and the whistles rang boom-boom.
I boil a cake and drink a steak when the mud-pies are in bloom.
If six and six are nine, does ice come from a mine?
Then Old Black Joe's an Eskimo and pork's from porcupine.

A pig or cow can bark meow but a goldfish likes to sing.
I saw a frog swim up a log but he fell and he broke his wing.
I know that camels sail the sea, that we get honey from a flea,
That every horse can climb a tree on the road to Mandalay.

Now I shoot the chutes in paper boots when the clouds are shining bright.
I'll fly a boat and row a goat, but I won't canoe a kite.
If France is in Japan, what does milk come from, a fan?
Then Paul Revere was fond of beer and so is your old man.

Now I don't shoot pool with Kelly Buhl(?) when his foot is in his sock.
A flapper's knees are bound to freeze if her fur coat is in hock.
I know an ostrich has no chest, that Grandma never wore a vest,
That elephants fly to their nests. Oh, my country, 'tis of thou.
[music stops]
Good morning, Napoleon!