I agree with Michael that Jews tended not to reuse family names over and over. One might name one after a deceased grandparent on occasion to honor the name of the deceased. The names used tended to emulate the character you hoped your child would have when they grew up. May you be like Joseph, Abraham and Isaac, Rachel, Leah, Rivkah (Rebeccah) etc. Not too many Isaac ben Isaac's out there. (Isaac son of Isaac) Janis Chasida bat Avraham v'Devorah