Lindsay, there are a couple of entries for Tilman on Rootsweb's WorldConnect site, posted by a Bobette Faux. She gives Tilman's mother as Abigail, maiden name not given.
In the 1820 PA census, there are a couple of possibles in Chester Co. Joseph Faux, who has a male under age 10, and one age 16-18 which could be Tilman. Thomas Faux, who has a male age 16-26, which could be Tilman.
I see an Abigail Faux in the 1860 PA census, but she was born 1790, so probably would have been too young to have Tilman in 1802, if that indeed is his birth date.Ancestry has her born 1788, but even that is quite young for a child in 1802.