In the 1870 Federal Census, The Matthews Family and the turpentine crew were listed in "Lees Township, Williamsburg County". Now, we all are aware that the census forms were standardized and that SC did things somewhat differently, but I record my data as I find it and I do not change the original information as I might wish to find it. The name "H. W. Williamston" is clearly written and I have recorded it with a "t" and assume that he was not a Williamson. But Y DNA analysis may well answer your questions. Just get the appropriate male relative to agree to "donate" some inner cheek cells, go to FamilyTreeDNA.com, click on family names, click on "W", then on Williamson and order a kit. We have some 120 YDNA profiles in our project, 12 of them from my family. Get your data and I will help you compare them with mine. Cost$149. Cheap by any comparison. You get 37 data at the rate of $4.03 per datum. And will not charge you my regular $1000 fee. What a deal!