This is also my line. Jeremiah (1795-1850) was the son of Zachariah Busby, b. 1768, SC. Your Nathan was the second son of Jeremiah and Phebe Miles (interestingly you have her last name as Mills). The oldest son was Miles. That is why I have a strong suspicion that Zachariah was related to, if not a son, of Benjamin Busby, (1699-1815), as there was a Miles listed in Benjamin's will. I am descended from Jeremiah (Jesse) Busby(1823-1897), b. MS, the third son of Jeremiah and Phebe Busby.