As we say here in California nowadays, "That's Fantastic," Mikey. This Songwriter Listing gives Edgar Leslie songwriter credit for "Lunatic's Lullaby." Edgar Leslie also wrote "Among My Souvenirs" and "For Me and My Gal."
"Lullaby" made the Parlorsongs Magazine August 1998 issue, with this frustratingly brief lyrics excerpt at the magazine's Website:

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.

Can anybody find full lyrics for the original song?
-Joe Offer-