From what I have read about Canterbury DNA studies, people who believe they are descended from Jedithen Canterbury and people who believe they are descended from Asa Canterbury are in two different groups.
I know that many people believe that Jedithen Canterbury and Ann Canterbury were the parents of Nimrod Charles, John, Benjamin and Reuben Canterbury of Kentucky.
But I have yet to find a single document that connects them. Have you found such a document??
I am especially suspicious of such claims because none of those men named a son Jedithen although they all named sons after each other.