Hello again, Jeffry. Doing a little more digging into Mary Pitt, who married William Puryear, and her father Edmund R. Pitt.
Do you know for a fact that Walter Ran Puryear's middle name was Randall? I've been looking for Edmund Pitt's parents and found an Edmund Pitt, son of James Pitt and Mary Rand of Isle of Wight, VA, all of the dates fitting pretty well. Most of the Rand family moved to Raleigh, NC, as did Edmund. Mary Rand had a younger brother Walter Rand and I'm wondering if Mary Pitt Puryear named one of her sons after her great-uncle Walter Rand. Other than your calling him Walter Randall, all I've ever seen is Walter Ran or Walter Rand. I'm hoping you just assumed it was Randall. I've got a pretty good circumstantial case going here.