How can I find out whose birth certificate is my fathers' name is on?

To find out whose birth certificate your father's name is on, you can start by contacting the vital records office in the state where your father was born. They usually require specific information such as your father's full name, date of birth, and possibly his parents' names. Additionally, you may need to provide proof of your relationship to him, such as your own birth certificate. If necessary, consider hiring a genealogist or using online ancestry services for further assistance.