Eliza Jane Vaughan (8 Dec 1829-10 Mar 1876) was the daughter of James A. Vaughan (1801-18610 and Mary H. Tinnell (1809-1842). She is buried in the Napier Cemetery on the Illinois Bayou in Pope County, Arkansas.
We don't know who the parents of James A. Vaughan were, but he had a brother named Enoch Vaughan. James and Enoch are also buried in the Napier cemetery. If there is a connection to the Daniel and Samuel Vaughan, sons of William Vaughan, who are mentioned in the mystery source you cite, the family doesn't know about it.