Your Joel Shew was the youngest of Philip Shew's children, and your information is correct.
Not much is known about Philip Shew's ancestry. He first appeared in Guilford County in a Land Entry dated 26 May 1778, for which a Land Grant was entered dated 29 Feb 1780 in which the Land Grant abutted his property (it was not his grant).
He first purchased land in Wilkes County on 28 Jul 1803, and he died there about 1832. Many of his children moved to Vigo County, IN about 1826, and it would not surprise me that his first wife had died by then and that he married Susannah _____ in later life. There was an estate settled in Shenandoah County, VA in 1785 for Jacob Schuh, and I think our Philip Shoe/Shew came from that line because the name Philip was a common name in that family, as well as several other names that our Philip used in his family. That is just an educated guess, and needs more work.