I found the following. I don't know for sure that he is your man. Hope it helps!
"1770 - Joseph Greer is born in South Carolina according to the census of his son, Joseph Greer in the 1880 census in Chambers Co, AL. We are uncertain of the parents of Joseph Greer but the research of Janice Craft seems to point to the Joseph Greer Sr. family of Laurens Co, S. C. His father in turn may have been John Greer who immigrated in 1764. The family apparently lived on and worked over 200 acres on Duncan Creek of the Enoree River. The Enoree River is the border between Laurens on the south and Spartanburg and Union Counties on the north. The Enoree river flows almost due east rather parallel with Duncan Creek finally joining the Enoree River at the Newberry and Union county border."