Parenting Rights for Grandparents. Grandparents are increasingly worried about the welfare of their grandchildren. They may see their own children as lacking in parenting skills and find it impossible to watch their grandchildren suffer abuse and neglect. Grandparents are demanding the right to see their grandchildren after a divorce and, in most courts, they are being given visitation. The scope of these rights depend upon the laws of each state. Some states provide for visitation as long as it is in the best interest of the child and does not interfere with the parent-child relationship. The rules for gaining parenting rights vary in each state and therefore makes it important that the grandparent find out what must and must not be done to insure visitation.