I sincerely don't understand what you're saying. Can you clarify? Also, I feel like maybe I wasn't clear. You are considered Jewish by even the strictest stand

I sincerely don't understand what you're saying. Can you clarify? Also, I feel like maybe I wasn't clear. You are considered Jewish by even the strictest standards if you (1) converted or (2) can trace matrilineal descent from ancient Israel or (3) can trace matrilineal descent from a convert. What I'm saying is that when Jewish men showed up in Southern and Western Europe, they seemingly got hitched to a lot of local women. How do we know the majority of those women didn't convert?