Hi Jillaine,
Thank you so much for your time and interest.
Having thought it through a little bit, untangling the confused logic/lineage between this Bate-37 and John Bate/Bate-426 (closely related to Rev. Stephen Bachiler) might be easier if we do not treat Bate-37 and Bates-3600 as duplicates.
Some comments follow. As your time permits, what do you think?
1. On WikiTree, John Bate (Bate-37) and John Bates (Bates-3600) are associated mostly with unique names, dates, places and descendants. Both are reported sons of Andrew Bate, whose will is known. It calls out only one son John who is almost certainly Bates-3600. The problem profile, thus, is that of John Bate (Bate-37).
2. Work to date suggests the majority of the information about Bate-37 is probably false. There was a John Bate who had wife Dorcas _____, but that man succeeded Rev. Stephen Bachiler as Vicar of Wherwell, being appointed 9 August 1605.[1] Bachiler's close relative, John Bate of Wherwell, left will "proved at Winchester 1633." I have not found anything about his parentage or ancestry documented. Same John Bate, one time Vicar of Wherwell, left widow Dorcas and had "children Anne who m. Robert Southward, John Bate and Gabriel Bate."[2]
The current proposal does not seek to solve all the possible problems in the profile of John Bate/Bate-37, just to sever the parent child link from Bate-37 to Andrew Bate (Bate-36).
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[1] Charles Batchelder, "Batchelder/Bachilder Genealogy, through Rev. Stephen Batchiler's son Stephen Bachilder," 1985, Carl W. Brage, ed., p. 1; digital images, ''Lane Memorial (Hampton, New Hampshire) Library'' (http://www.hampton.lib.nh.us/genealog/batchelder/index.htm : accessed 2014).
[2] Charles Batchelder, "Batchelder/Bachilder Genealogy, through Rev. Stephen Batchiler's son Stephen Bachilder," 1985, Carl W. Brage, ed., p. 2; digital images, ''Lane Memorial (Hampton, New Hampshire) Library'' (http://www.hampton.lib.nh.us/genealog/batchelder/index.htm : accessed 2014).