1930 Federal Census in the Borough of Bronx there is a Charles E. Bader (age 43) and wife Dorothe with 3 sons and his brother Frederick.
Pursue getting his death certificate from the county he died in; ask for a copy of the physician's original, which is more informational than a State issue of death certificate. I suggest to all researcher's to get all certified documentation if they can affod it.
A copy of an original application for Social Security costs $37 last I heard; I purchased many for $7. It shows the parents names.