Rhoda Schenck New Jersey

I'm looking for information on the mother of Aaron L. Schenck. Aaron was born in New Jersey about 1804. His father Obadiah married Abigail Freeman in Butler County, Ohio on May 22, 1806. Aaron Schenck died on March 9, 1856. His obituary says his parents were Obadiah & Rhoda. Rhoda probably died after childbirth in New Jersey.
The book I found "New Jersey Transplants" by Allen F. Betzler doesn't mention Obadiah's first wife Rhoda or Aaron his son.
Does anyone have any information on this family?