I had at one time asked Mr. Atkins if there were gravestones on his property, which, since you're asking, you probably know was once referred to as the Burgess Mill property. He told me that he knew where the graves were but that no stones had survived.
Here's a link to the familysearch.org database of Virginia marriages showing the marriage of Hester and Joseph. Lists his parents, if that helps:https://familysearch.org/pal:/MM9.1.1/XR7J-QNR
I know quite a bit about the Burgess family of that area, at least after the late 1700s. Don't know how they connect to other Burgess families in the area before then.