How do I file a petition for my husband to join me here in the US and we have a daughter?

Unfortunately I don't have his name on the birth certificate as a parent. This is because as at the time baby was born, we were not legally married and therefore here in NJ was told he must be present to sign to be able to put his name on the birth certificate as a parent. My problem is how then can I use the birth certificate as a document to proof our marriage is genuine when I file the petition? What do I do?