I have copies of 1790-1800-1810 Edgefield County census records.I do not have 1820.However, you can purchase these records from Alligator Creek Genealogy Publications, 1109 Flintwood Ct.,High Point, North Carolina, 27265-1163.I believe they have a website.Check Cindy's List, as I think I saw it there.If you can't find it let me know.I have it somewhere.Anyway...
I only found one possible match:
1810 Census, page 71: Joel Burnam100103001000
Following are 10 people listed on either side of Joel in case relatives are living nearby:
Wm. White Meck White Elisha Attoway David Attoway Thos. Turk Nathan Trotter David Rasdal John Taylor Isaac Saddler Saml. Johnson JOEL BURNAM Richd. Turner Willis Moss Michael Deloach Benjm. Roe John Roe Joseph Roads Martha Hill Tabitha Dean Elizabeth Whitley Heny. Weaver