There was a Levi Truhite whose will was dated 10 June 1779 in Amelia County, Virginia who could have been this Levi Jr. There was a Levi Jr. mentioned as having been granted 800 acres of land in Craven County in 1744. His only known descendant was a son named Joseph.
[Taken from Hortense Abbott's book: "Trewhitt Families."]