The Aiken-Barnwell Genealogical Society printed in 2007 a Volume III of Barnwell County (Old Barnwell District) Cemeteries. There is a listing for a "Wooley Cemetery" that is located on SRS Road #151 where Dunbarton was. The oldest graves are those of Rachel Wooley (1808-1886), Allen Wooley (1835-1907), N. A. Wooley (1841-1906).
I hope this helps.
Beth Guess