Are you absolutely sure that it was Lester and not Liston N. Faulkenberry? My Great Grandfather was Liston Nettles Falkenberry, born 1852 and died 1937 in Monroe County. I believe he is burried near Tunnel Springs. He married Mary and one of their sons was Willie Jenkins (my grandfather) and another was Claude. I can find out more about other siblings.
Liston's father was Deason and there are other records on rootsweb going back to 1715.