There were not many non-Indians in the area that became Lauren County in 1747, thought there could have been a few Indian traders and hunters. You probably know Lauren County was created as a subdivision of Ninety Six District in 1785. Ninety Six District itself was created in 1769.
One source you should look into is the land grant records at the SC archives. You can find these online and even print colonial plats from your computer.http://www.archivesindex.sc.gov/onlinearchives/search.aspx
Use this site to search for some of your earlier ancestors. Enter last name first, then comma, then first name. Since spelling was not very important back then try partial names first.
Another source to understand the early migration in the up country of SC is Robert Meriwether's The Expansion of South Carolina, 1729–1765. Kingsport, Tennessee: Southern Publishers, Inc., 1940. This is not a genealogy book but a valuable book on how the area around Laurens was settled.
While fertile, unused land and Indian trade attracted earlier setlers, Indian uprisings kept migration low until the 1760s, though there were brave souls there earlier. By the 1760s settlers were pouring in.
Other than land records (plats, grants, memorials), council journals, and a few other miscellaneous records (letters, petitions, etc) there were not many records of the earliest settlers. Most of this information would be at the archives. It would definitely be worth a trip.