According to the Faurot genealogy book by Frank Reed, it states:
Henry Faurot, Jr., b. 30 July 1766, Piscataway Twp., Middlesex Co., N.J., d. 10 Mar 1832, ae 65/7/11, Rush Twp, Champaign Co., Ohio., m. 1790, Orange Co., N.Y., ELIZABETH ROSE, (perhaps the dau. Israel and Phebe Rose, of New Cornwall), b. 9 May 1771, New Cornwall Twp., Orange Co., N.Y., d. 10 Oct 1854, ae. 87, Jumbo, McDonald Twp., Hardin Co., Ohio, bd. in the Old Fairview Cemetery at Jumbo, Ohio.Chapter 10 of this book, pgs 279 - 319, list their descendents.
I find no reference to a Phebe Faurot, only Phebe Rose, wife of Israel.