It is unlikely the John Box, Jr. mentioned in the deed of 1804 had male descendants. Rachel Box and Luisa Box who were listed as granddaughters of John Box (Sr.) and daughters of Jemima Box were apparently the daughters of John Box Jr. If John Jr. had sons,they would probably have been listed in the Will. The deeds referring to John Box, Sr. were mentioned on page 3 in Wade's book and may also be found at the link:
I appreciate your comments on John Box and Joseph Boxas we (a group of Box family researchers) are currently trying to sort the tangle of Johns and Josephs and your comments will be helpful.We would be interested in the names and birth years of their children that were born in S. C.Your John is not one we have worked with as yet and we are just getting started on the Josephs.