When does guilt stop being passed on – indeed just stop?

If you are someone who has led a blameless life but happen to be the grandchild of some monstrous villian from history, is it fair that you and your name be reviled?

Should you be directly punished for the crimes committed by your long-lost relatives?

To the point of being Cut Down?

Surely not. You are not to blame for what was done by those who created you.

How far does this principle extend? What if Hitler planted other seeds?