My mother, who grew up in the 1920s, sang the other part of the clapping song:
"My mother saidie, if I be goodie that she would buy me a wubbah (rubber) dowwie (dollie).
So don't you tell her that I've a feller, or she won't buy me a rubber dollie.

The 60s version said, "My auntie told her I kissed a soldier, so she won't buy me a rubber dollie," and was sung without the lisp mother used.