Jane Proudfit b 1799 dau of James Proudfit b 1760

I need help identifying

Jane Proudfit b 03/24/1799 daughter of James Proudfit b 11/08/1760 lived inChesterCo Pennsylvaniadied 05/12/1856Washington Co Pennsylvania

I am researching :

i have discovered that

James P Cowan was born in Washington County, Pa., Feb. 22, 1823, and is the son of John and Sarah (Proudfit) Cowan, both natives of Pennsylvania. John Cowan was born in Allegheny County in 1789, and Sarah Proudfit in Washington County in 1799. Both died the same year, 1867, John Cowan being seventy-eight years of age and his wife, Sarah Proudfit sixty-eight.

James P Cowan's grandfather, James Proudfit, was a Scotchman by birth and one of the early advocates of the abolition of slavery. His farm in Washington County, Pa., was said to have been one of the important stations of the underground railroad, by which many fugitives escaped to freedom.

I need help :
In various records Jane Proudfit's (b1799) mother was Jane and her grandmother was Sarah.Could her name have been Sarah Jane or Jane Sarah and she called herself Sarah after becoming an adult?

I know I am stretching things but I thought it was worth a try. I would appreciate any help.