I do not know who the parents of these three Brawner children were. I do not believe they were Henry Brawner and Elizabeth Barton.
The William of Henry and Elizabeth was married to Ann Maddox and, from memory, I do not believe there was either a Richard or a Sarah in their family. Henry Brawner and Elizabeth Barton were married in the early 1700s in Prince George Co, MD so they could not possibly be parents of these children who were all born 100 years later in VA.
None of the Henrys cited here are the one referred to as Dozier. As I understand Edward, son of old Henry, had about 3 wives and a prodigious number of children. One of these was the Henry who married Elizabeth Barton and another was Edward. Edward Brawner Jr married Elizabeth Wheeler and they remained in Frederick Co, MD. Edward and Elizabeth had a son John. John Brawner married Elizabeth ?? Their children were: Henry "Dozier" Brawner Levicy Elizabeth Brawner William Brawner Edward Brawner Catherine Brawner John Brawner
I believe this family were Catholic and lived in Emmitsburg. Several of them moved to KY or TN and died there.
All my Brawners were not Catholic and remained in the MD/VA area. I know quite a lot about my Brawners and very little about the Brawners who migrated to other states.