I think you are confused? At this point there is only one child left to identify. The lady found with the eldest child, and the younger child are all related and they have already been identified. The 3rd child has yet to be identified, but she is TPR's daughter, and TJ Mitchell and William Livings could be her 5x or 6x great grandfather's on mother's side.
You're right I was confused, you're saying that Janis could be the missing mother. I misread and thought she was being suggested as the woman who was found in the barrel which baffled me totally. Anyway, moving on...
As I posted earlier, those 2 men you named share descendants but the update says "OR". I think they'd have most luck asking actual living people from round there. Both those guys have many local roots and are well documented.