I'm 70 and when I was about 10 years old, my father used to sing this. He was born in 1918. I remember it as if it was yesterday. The words I believe are exactly how he sang it however I haven't been able to find a rendition that's exactly the same, but similar.

I’m up here in a bughouse, my brain is in a rut,
My keeper says I’m cuckoo, but he is off his nut.
I’m just as sane as you are and I can prove it too,
For when you hear my lullaby you’ll know I’m not cuckoo.

I was born one night on a Sunday morn when the whistle rang boom boom,
I saw a frog swim up a log and fell and hurt his leg.
If 6 + 6 is 9 and ice comes from a mine and old black Joe’s an Eskimo, so is a Porcupine.
I shoot the shoots with paper boots when mud pies are in bloom,
I sue them all for slander and this is what I meant.
For how can I be Bonaparte when I the president.
Crazy words crazy tunes a man got hit with a bag of prunes cuckoo cuckoo