Several family histories have William Gaulding, born in the 1740's who married Mary Geers, as the son of John Gaulding, Jr. John Gauldings son William was born in the 1720's, according to The Gaulden, Gauldin, Gaulding, Family History -- A Seven Hundred Year Study, Volume One, p.29, Dr. Charles H. Gaulden, Self Published, April, 1999. Dr. Gaulden does not mention the line of William Gaulding who marries Mary Geers.
Catherine Gauldings Descendants of John Gaulding states that the William who married Mary Geers is the son of John Gaulding, Jr. Catherine Gauldings Descendants of John Gaulding. She lists Bill Goulding's work and Ancestry Trees for her sources on William's son John Gaulding. She lists William's wife as Martha Gaulding, daughter of Jesse Gaulding.
However, according to "Virginia Marriages, 1785-1940," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XR49-P7D : 5 December 2014), John Gaulding and Sally Cawthorn, 18 Dec 1794; citing Prince Edward, Virginia, reference ; FHL microfilm 33,254. John who is the father of Philemon, married to Sally Cawthorn (Cauthorn).
The Gaulden, Gauldin, Gaulding, Family History -- A Seven Hundred Year Study, Volume One, p.29, Dr. Charles H. Gaulden, Self Published, April, 1999.
It may be possible to confirm family relationships with William by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: