My great grandmother born in Missouri in 1890 used to sing this song as well. As a boy I learned it all but I remember the first verse a little different I got a search which gave me this but I kinda remember the doctor giving her an extra whack when she came out

"When I was born my pa and ma,
They looked at me and said, "Oh, pshaw!"
The doctor said, "It's a girl, I think."
And pa went out and took a drink.
Then ma said I looked just like pa,
And pa said I took after ma.
Aunt Jane said I looked like a quince
And I've been a stepchild ever since."

The chorus followed by, here is a verse I could not find on the Internet.

"One morning around four o'clock
Somebody tried to pick our lock.
I knew it was papa sure as sin
So I opened the door and let him in.
Just then, the cuckoo cuckooed four
And pa made me cuckoo eight times more."
They always, always pick on me... CHORUS