I don't know about your birth state, but Pa. didn't give them out for years.
The hospital would give your mom this pretty document with a footprint and
a shiny "seal" stamped on it. It was a "certificate of birth", not a birth certificate.
No B.S.
We all thought we had birth certificate's, until the big "Prove your citizenship" crap
to renew the hazmat portion of our CDL's.