Your Mary Polly White was a daughter of Henry and Susanna White of Adair Co., KY. Polly had sisters Elizabeth Betsey White Jones (2nd wife of Elder James Jones) who lived in Johnson Co., IL (my line), Susanna who married Andrew Wolfe, Nancy and their brother Henry White Jr.
I have a copy of the Will of Henry White Sr. which names his children and wife Susanna that I found in the Adair Co., KY Courthouse. If your interested and find this then please contact me at firstname.lastname@example.org
I have other information on this family and I have seen Jeremiah's name spelled as Barger and Barbour so it is good to see that it is possibly Barlow. Do you have more information on this line?
I have a lot of info on Polly's sister's line but not so much on her but now I will look for Barlow and that will help.