If what is meant by the term "legitimate" pertains to whether the father is responsible for supporting the child, then the answer would be yes. Once paternity has been established either by the signing of the birth certificate, a declaration of parentage or by DNA testing the father can be held responsible for support of the child and likewise he is entitled to petition for custodial or visitation rights.
What name is on the birth certificate is the child's legal name.
Yes, Barack Obama's birth certificate is a genuine document issued by the State of Hawaii.
The biological father does have parental rights but he have to petition the court for visitation rights and custody.
No, you put the father on the birth certificate! Then it wouldn't be a birth certificate!
No. Father's name is not legally required to be on the birth certificate.
Immigration status has no influence on parental rights but you have to prove paternity in court by a DNA test to get them. Then you can also petition to sign the birth certificate.
No, but it may cause problems for the parent(s) and the child in the future.
The father must sign to add his name to the birth certificate.
No.
Yes the mother has the right to put the father on the birth certificate or not.
It is possible to legally establish paternity even if the father's name is not on the birth certificate.
Even if the father's name is on the birth certificate, and is living with the mother, except in Arizona.