What you have here is a nice story but without verifiable citations, for every statement you've made, it's nothing but speculation! I can tell you that Joseph Carroll's land was not previously granted to his father by William of Orange. There is nothing in any of the records to indicate either Joseph Sr. or Jr. had a middle name, and Joseph 3rd. was called Jerry.
Joseph Jr. md. Martha Jane Swancey, daughter of my James Swancey, and sister of my direct line Eleanor Swancey that md. John Swords. I can supply citations to anyone interested.