Moral rights are those rights which are related to our ethical sense of life. Such rights do not have the backing of the law behind them. It is the moral sense that recognise these moral rights. Children have the moral right to be looked after by their parents, have the moral right to seek assistance from their grown up children.
If moral rights are violated no legal action is taken. But if legal rights are violated legal action may follow.
A legal right is a right recognised by the state; it is in a way the product of law. As such a legal right is always enforceable. We can be helped by the police and courts for enjoyment of our legal rights.