Most of us do name searches on Ancestry.com, but that search may uncover a database that gives us a hit that is far enough down the list that we may never see it.
There is another approach to searches that might prove valuable to you. Click on the search tab at the top of the Ancestry screen, then click on "Card Catalog" in the drop down menu. Next scroll down the page looking on the left side of the window for the heading "Filter by Location." Choose your country, and then keep drilling down to the county or even community (if one is listed) where you suspect you ancestor lived. As you are doing this, the number of databases listed gets progressively reduced. Then select a promising database from those on the list and start your name search there, or just browse the images.
This approach may reveal an unexpected find.