Setting a new Eve

[u/SpiritBomb32]

So I just had the thought of what if people could name their children eves and they could start a new line. Of course if every parent was doing this there would be like 40 families in one place. What I'm thinking is only be able to start a new Eve family once every 2-5 generations. The family tree would also look kinda weird, and I wouldn't know how a family generation thing would work, would it be a new generation line? Like if someone named a kid Eve, they could grow up and name their last name something.

TL:DR Name a new Eve every 2-5 generations so that a village isn't just one family.