I have been able to trace Jane's lineage to Wesley P. Byers (her grandfather) using DNA matches. I am still in the process of trying to determine if her father is either John C. Byers or Frank Byers but will need a few more comparisons before I can make that call. I am certain that she is related to Wesley's daughter, Malissa Byers Floyd.
Jane was disowned by the family for marrying William Turner since he was either 1/2 or full blood Native American.
Tagging Jane White and William Thomas Turner for reference.
When the proper profiles for Wesley P, John C, and Frank are identified, please "tag" them too -- there are quite a number of "John Byers" profiles.