Yes, we have extensively looked into other Jane Adamsons, most of whom are in North Yorkshire, Durham and Northumberland and can effectively rule them all out, but that doesn't mean the same as ruling in the one that we think is our ancestor. I just keep hoping somebody will come up with an idea that we have overlooked.
Martin
Martin,
this might be something of a long shot and time consuming, but it might be something to try if you haven't already done it . . .
Work back a few more generations on Jane Adamson from Tudhoe if you can, then try those names in a search (using the further back generations) and see if they lead to any trees or (best case) a dna match.
If you find further back generations on a tree, it might be that it's a tree that just goes down one line rather than horizontally (including siblings at each stage, which could include a branch which could be your line).
I'm thinking you might need to go back quite a distance on the possible Jane line (probably to your 4GG at least) and then you could possibly get some lower shared cMs matches.
Alternatively any siblings to Jane, can these be found on trees and possibly lead to dna matches?
My thinking is that if you find a dna match to someone who has the same ancestors as Jane, then (ruling out any connections to another side of your family) a dna match would surely indicate that she is 'Your' Jane.
hope this might be a way forward (or back through the generations),
Lisa
PS sorry I am assuming your results are on ancestry or you use ancestry, which I don't know if you do. If you do, have you tried doing a search on dna matches with Jane's maiden name (or her ancestors) or the birthplace and see what comes up?