You can do a search for a name and and birth or death place keyword.
I did a search for a common name, Roberts, and got lots of hits in the US, UK, and elsewhere.
I then added the birthplace “Maine” and got a number of hits specific to Maine.
I then did “Oxford, Maine” and got a few hits where the birthplace included this place. I then did “Oxford County, Maine” and got a different set of hits.
Inconsistency in how place names are entered will complicate this process.
There is apparently no way to export the results, although I suppose you could copy the resultant list and with a bit of manipulation import it into a spreadsheet.
Not elegant, but perhaps a functional work-around if the list is not too long.