You have some parents, in some churches, who cling to the fact that their babes were baptized. Both Catholics and Lutherans believe that their baptized infants are saved and on their way to Heaven. Others rely on being able to convince their children to follow Jesus. The truth is that we have been saved by grace through faith. It's not of ourselves.
Salvation works the same for our children.
Their works are filthy rags. So are ours. Now I'm going to get really Calvinistic. I have neither the time nor the energy. My husband and I have been debating Calvinism for years now.