How sure can I be that this is the right ancestor,
You need to account for all of your matches back to about 20cM (or more) and all of their shared matches that seem to be real (share 3 matches+ in a cluster). By doing this you will be able to validate lines, and likely be left with other groups of matches who you can try and place in your tree.
I'm of the impression that (virtually) all DNA matches on Ancestry down to 20cM are real relatives. Beyond that it's not easy to tell.You will have clusters of matches below 20cM (many of them), but it becomes very difficult to figure out how they are related to you. This is owning to - the further back the relationship, the less likely they will overlap with enough matches to suggest which lines of our ancestry they relate to; and that they can relate to ancestors born more in the window 1670-1700. For example, for 7th cousin matches, we have 128 possible pairs of great-grandparents.
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If the test is taken by someone born in the window 1950, then there are some shared matches showing ancestors back to window of 1670, while there will be other lines that only have shared matches back to the window of 1800.
Some lines just happen to be very faint. This could be due few descendants, few descendants who have taken tests, little DNA inherited on that line, or maybe issues relating to Ancestry stripping out chunks of DNA they think are not inhered (but are). The only way you can figure out which lines are faint and which are strong in your test is going through all the matches. Going through the matches of relatives' tests may yield earlier generations on weak lines. But in my expedience weak lines in one test seem to correlate to weak lines in relatives' tests. This could point to Ancestry stripping out too much inherited DNA.