I do believe that the tombstone David Cuthbertson matches the census David Cuthbertson, as both are paired with Nancy L., his wife. Your answer is wonderful and sent me to sources I hadn't realized existed -- I'm reading through church histories from Macon county. Unfortunately, many of them are missing a few years from 1860-1865. No mystery as to why. But I'm running across a lot of my ancestor's names and I'm delighted with the search (even if I am not finding the Cuthbertsons).
One important clue, however, is that the tombstone in the picture is rather "new" looking for an 1860 tombstone and it became clear that the original cemetery was relocated (I believe as the TVA built the Fontana Dam, flooding the town of Judson, NC.) When the graves were relocated, I wonder if a change in the date occurred. There are similar issues I've noted in the Brush Creek Cemetery, where old stones were replaced and, in some cases, no one remembered who had been buried there. This is fascinating! Thank you for your help.