The FamilySearch blog on Genealogy Resources has a post about using the surname of your immigrant through the use of surname distribution maps to discover where they may have originated.
The website is https://familysearch.org/blog/en/map-surname
The blog says that “These maps graphically display locations where surnames occurred at different periods in time. This strategy provides genealogists with a starting point for research in the birth country, when that information cannot be discovered through sources recorded in the new country of settlement. It works particularly well for less-common surnames and among families that have stayed in the same European locations for centuries”.
They have a list of countries, with links to maps, including Canada, and a world-wide map. So give it a try.
Did it work for you?
The website is https://familysearch.org/blog/en/map-surname