I take back my comment about not finding any deeds for Matthew Davis. There are actually quite a few deeds for Matthew Davis - I just haven't abstracted them because he's not part of my line. The deeds may tell you whether there was an older Matthew Davis who died around your 1809 date. Some men gave away all their property before they died (via deeds) just so their estate didn't have to be probated.
Good luck. There are a lot of Davises in Surry Co and it can be a challenge sorting them out.