Another, belated, attempt at the family tree.
Gibson sister 1, Dorothy, married Thomas Lascelles in 1691. They had a son William, who married Alice and their son was Robert who became vicar of Gilling and had John Hall as his curate. Dorothy and William's wills can be found on Durham Uni's N E Inheritance database, now on Familysearch.
Gibson sister 2, Frances, married Joseph Hall in Durham Cathedral in 1687. The sons I have found are John 1689, Stephen 1691 and Joseph, September 1693.
Joseph at some point married Katherine Trotter and children i have found or know of are John 1718, Thomas 1725, Frances 1727 and George 1724. The last 3 were all baptized in Durham. I have not found Joseph and Katherine's marriage or John's baptism.
John married Ann Stevenson, granddaughter of one of the Whartons of Gillingwood Hall and added her name to his.They had a son John, who died unmarried (I think) and Joseph, who died the year after his father. So the estate was inherited by his son, John Hall-Stevevenson, grandson of the first John Hall Stevenson and he was the one who changed his name to Wharton for the inheritance. His great uncle Thomas seems to have had a son John, as per previous posts, but can't find records for Thomas, his marriage or his children. Mag