First of all I am familiar with Imogean's research. I too am looking for the parents of Laban Brock of Fairfield county.
My ggg-grandfather Laban first appears in the War of 1812 pension documents and then the 1820 census for Fairfield. I have yet to find anything linking him to any other Brock anywhere much less South Carolina.
I wanted to ask if this Joseph is the son of William Orrill or Reuben Brock. I have seen both in family records online.
Do you happen to have any idea how many sets of Brocks there were in the South Carolina area around 1800? What I mean is how many Brock families there were that weren't related?
There seems to be at least one of German or Swiss origin. I have a Frederick son of Rudolph who was in turn son of Henry, if I have that right. I'm guessing that they may be one or the other.
The following lineage is one that online researchers have begun to ask if I descend from. In the surrounding area- VA to KY there is the Aaron Brock "Chief Red Bird" line. Aaron, born circa 1721 in VA, was Cherokee. His son was Jesse and evidently James and George (results of dna testing). I am wondering if there might be more who may have moved south to the Carolinas instead of west with Aaron.
Although, my father thinks we are of German and Cherokee ancestry and I don't know where Aaron's surname comes from. It is evident that my Cherokee lineage goes back to at least my gg-grandfather William James Brock, born circa 1830 in either Limestone co AL or Fairfield SC. I have a photgraph that illustrates his Native American features.
Other given names in my family tree include Laban Charles son of Laban Sr and Charles Frederick son of Laban C.
I realize you may not have done much research into the Brocks in SC.