Can you send a link to the 1860 census? The last census record I have for Bethelem Bly Parks is in 1850 census in Union County, Georgia. She is living with her son John. I haven't found any records for her after that.
Can you elaborate on who the proof of who her parents were? The family trees listed online have William Blythe and Nancy Fields, while others list Jonathan Blythe and Annie Nancy Barnes However, none of the trees cite any evidence as proof of the connection between the generations.
I'm sorry that I can't given any more information on the Shooks. This is the first that I have heard of them in connection with Bethelem Bly