I can't remember the first two words for sure. I think it was Mother, Mother.   But, I well remember the rest of the way my mother sang it.

Mother, Mother, have you heard,
Daddy's gonna buy me a mocking bird;
If that mocking bird don't sing,
Daddy's gonna buy me a diamond ring;
If that diamond ring don't shine,
Daddy's gonna buy me a bottle of wine;
If that bottle of wine don't taste,
Daddy's gonna buy me a billy goat waist;
If that billy goat waist don't run,
Daddy's gonna buy me a shootin' gun;
If that shootin' gun don't shoot,
Daddy's gonna buy me a pair of boots;
If that pair of boots don't tie,
Daddy's gonna throw me in the sky!

(Then you would lift a child up high like you were
going to throw him.)