My mom sang this my whole life. And I guess she learned it from my great grandpa back in the 60's. A slightly different variation though...
I was born one night,in an awful fright, when the missiles rained BOOM BOOM(when the whistles rang BOOM BOOM)
I can bake a snake and fry a cake, when mudpies are in bloom.

Never knew it was a real song. Would love the history on it. Nice to finally have a title though lol.