If I understand your situation correctly based on the DNA information on the profile to which you linked and the existing relationships here (please correct me if not) ...
You have 2 related matches at AncestryDNA to whom you appear to be related through your 3rd great grandparents, Oliver & Eleanor (Powers) Wolcott. Your 3g grandparents appear to be 2nd great grandparents of match 1 and 4th great grandparents of match 2.
If that's the case, your relationship with match 1 appears to be 3rd cousin 1x removed, and your relationship with match 2 appears to be 4th cousin 1x removed. The relationship between match 1 and match 2 appears to be 1st cousin 2x removed through Ira James Edgar [he being a grandson of your 3g grandparents, Oliver & Eleanor (Powers) Wolcott].
Per the DNA Confirmation Help Page, since your relationship is more distant than 3rd cousins, you would follow the guidance on the DNA Triangulation Help Page. Unfortunately, AncestryDNA does not provide the tools necessary for segment triangulation. Currently match information at AncestryDNA can only be used here for confirming 3rd cousin or closer matches. Additionally, since match 1 and match 2 are close cousins (1st cousins 2x removed), both descending from the same grandson of your 3g grandparents, only one of those matches could be used in a triangulation scenario.
To "confirm with DNA" relationships here on WikiTree using one of those matches in a triangulation scenario, you would need to find at least one additional match who descends from your 3g grandparents via a different child of theirs. All parties would need to have their DNA on a site that provides tools for segment triangulation: such as GEDmatch, MyHeritage, or (with additional coordination among matches) FTDNA. Those sites (there may be others) currently allow uploads of DNA test results from other testing companies (fees may apply for uploading and/or accessing some of the tools). 23andMe provides triangulation tools but doesn't currently allow uploads from other testing companies. The triangulation tools at one of those sites can allow you to determine if there is a significant enough DNA segment on which 3 or more distant cousins all match each other.