I don’t see it that way. norsemen were northmen...which were men north of whomever gave them the name “norse”. It could’ve been people from paris if people from lyon gave them that name.
Forgive me for my lack of details, it has been a lot of years since my last World History class. But Norsemen is another name for the Vikings. The Norsemen conquered the area we now call Normandy. This is historical fact.