I have a book on the history of the county "A Tricentennial Portrait, 1692-1992" by Robert R. Harper.There is information on this family, including the following:
"Colonel Powell C. Fauntleroy (1869-1933) (pictured), who erected the monument at Naylor's to his ancestor about 1927."
"This monument (pictured) was erected at Naylor's Hole (now Naylor's Beach) to the memory of Colonel Moore Fauntleroy, the first of the name to settle in the area in the early 1650s.The pyramid-shaped monument was erected in 1927 with bricks from the home built by Colonel William Fauntleroy (that once occupied the same spot.)The bronze plaque on the face bore the inscription: 'Erected to the first pioneer settler of Naylor's Hole, Virginia Colonel Moore Fauntleroy Richmond County Militia, Virginia.Born 1610 at Craundall, Southampton County, England.Died 1663 at Naylor's Hole, Richmond County, Virginia, son of John Fontleroy and Phoebe Winkinson, his wife."
"The monument was torn down around 1943 and the bronze plaque sold to a Richmond scrap bealer to help the war efford.The concrete base is all that remains to mark the spot." (pictured)
I am no researching this family, however some of my ancestors lived in Richmond County, so I have seen the name in my papers.