I called the church (United Methodist Church in Hamilton) and was told that the area once had a large African American population, and the cemetery had been neglected, fallen into disrepair, and forgotten. The concrete slab with all the headstones on it was built about 30 years ago because many of the headstones had toppled over, and they couldn't tell where exactly they belonged. So all those headstones are on the slab in memory of the deceased they belong to, and as a way to honor them.