Green’s Dictionary of Slang

Aunt Polly n.

In phrases

like Aunt Polly, who snipped out a paper dolly

(US black) cut, i.e. abandoned, rejected.

D. Burley N.Y. Amsterdam Star-News 21 June 13: The Head Kick [...] spieled that all that loud anbd unhipped spiel would have to be like Aunt polly, who snipped out the paper dolly [...] jive that was a solid gasser.