Uriah Stone "Long Hunter" did have children. From the book 'Notable Southern Families' page 220, "Uriah was the father of at least two sons, William Stone and Archibald Stone. William Stone settled in Jackson County, Tennessee, where he died in 1820. His will mentions his wife, Ann, Sons Uriah and Elijah; daughters Jan Roberts, wife of Edmond Roberts and Ann Smith; a grandson, Asbury Stone, son of Uriah Stone is also mentioned."
This article was written by Colonel James Smith, of Pennsylvania, who explored the Cumbeland Country during the summer of 1766. He names Uriah Stone as one who traveled with him.