Sorry, Bob I can't help there.My ancestors left Lancaster County over 127 years ago and went to Madison County, Mississippi.I do have a South Carolina County Atlas that shows churches and cemeteries.There are some cemeteries shown that are not named but of those named there's no Bennett Cemetery.Could it have been called something else?
Is this Walter Beckham a current resident of Lancaster?I could only find one Walter Beckham in Lancaster and he lives north of Lancaster just a few miles south of Andrew Jackson State Park.The only cemeteries near him are Stinson Cemetery and Cureton Cemetery.If you can give me more info, I'll look further.
Are you descended from the Bennett's?My G-G-grandmother is Mary Bennett who is daughter of Reuben Bennett and married Richard Beckham in Lancaster County.Also descended from the Patriot William Cauthen and the Sims.
Only one other suggestion.You might check with Mickey Beckham who lives in that area. I'll look up his e-mail address and send it directly to you.