Unfortunately, the more I look the more it gets complicated. The CHAL(L)ONER families are implicated, along with the LASCELLES, TROTTER, LAWSON and GIBSON, intermarrying and associating with each other more than once. A CHALONER is on a church memorial along with a TROTTER, I think I saw a HALL, LASCELLES and CHALONER together in another article about the HALL's quarry.
They all cross each others path in Durham, Lancaster (HALL-STEVENSON property?), Egglescliffe, Elwick, Guisborough (Skelton Castle included). Some are also found in York. Properties were passed to brother Thomas HALL (General) by HALL-STEVENSON, so Stotfold and Elwick are mentioned in his will.
There are two trees mentioning Lincolnshire, the Byerside tree started my search there and inspired my search for MILDMAY connections assuming that HANNAH MORE was right about John HALL's ancestry. There are mistakes though: Lawson TROTTER is shown as 'died unmarried' but I have him marrying Dorothy LOWTHER and they produced a dau. Elizabeth. George Lawson HALL, a colonel in the army had, I presume, an illegitimate child the year after his wife died, as there's a birth for 'George Lawson HALL or KETTLEWELL' in 1761, and several more generations of people withe the same name.
The Durham archives provides many references to these people and British History Online helps. The 'History of Mount Grace' book has the LASCELLES tree.