I'd like to keep this discussion open a bit longer.
Could William have married twice? 1st to Mary Wright, 2nd to Frances Crowe.
Could there have been two sons named William?
Could the elder and longer-lived Wm Mathews actually be a brother to John Mathews?
I am a descendent of the William Mathews (c 1715-1811), whose parentage we question. Of course I am eager to resolve it.
A transcription from the Mathews Family Bible appeared in the Arkansas Gazette in 1916. Although its publication didn't name his parents, John or Ann (Archer) Mathews have long been accepted as our ancestors. Several family members hired genealogists during the 40's nad 50s, who seemed to confirm it. Those records are now at Arkansas Archvies, not at hand at the moment.
I guess it's established that this Mathews family immigrated abt 1739 and settled in Augusta Co VA. John and Anns had 6-7 sons and at least 4 daughters. A number of Wm's children moved to KY and Ohio. Some desc's ended up in Arkansas, including Hanger family members/cousins. The Bible was last in possession of descendants of Peter Hanger, son of Frederick Hanger and Margaret Mathews, grandson of Peter Hanger Sr. of Augusta Co.
Source: L. Lewis Peyton's "History of Augusta Co, Virginia" gives a brief description of this Wm Mathews who married Mary (Martha) Wright. The author includes names of children and some of their descendants. His section on the Mathews family concludes with mention of George and Sampson being family members
Source: Rowland, Jane Thomas. "John Mathews, immigrant : papers from the family files with Rowland/Thomas connections and some ancestors and descendants of Jane Thomas Rowland and Arthur Ray Rowland" Title No 693024 Familysearch.org
Image 7 - names John and Anne's children with birth years much earlier than what we usually find. (e.g., Mary b. 1719, etc)
Source: Chancery Ct records, Augusta Co indicate that the older William provided keep for Rebecca (Sawyer) Archer when separated from her husband, John Archer.
Source: Family, memory, and property. The house (my) William Mathews built (so-called "White House") was still standing in the 1950s on the northeast side of Union Church Rd south of Hupman Rd in Augusta Co. I have video of old home movies of mother visiting it in the 1950s. She claimed the then-owners knew of the property's hisotry, that it belonged to Wm Mathews of the John and Ann Archer family. Circumstantial, I know.
But, the property seems to have transferred to Gaines family (2 daughters married Gaines men) before Valentine Hupman acquired it.. Land records might be a way to gain confidence in the relationship? Where was John Mathew's property in Borden's grant?
I guess my point is that the older William Mathews who married Mary Wright is related. The Bible record says he immigrated with his family when he was about 17 years old and was related to George, Sampson, Richard, John, Joshua, Ann, etc.
Source: North Amer Histories
https://www.ancestry.com/family-tree/person/tree/178531146/person/122320193406/hints