Change the law so unmarried, deceased father's name can go on birth certificate

The law does not allow an unmarried mother to place the father's name on the child's birth certificate without them being present. When the father is deceased it is impossible to register them on the birth certificate without having to go through financial burdens, legal processes and added heartache. This could be seen as discrimination. I want my child to have his father's name on his birth certificate as it is bad enough he has lost his father already and I am not alone in this situation.