Ind. Code § 16-37-2-16

Sec. 16. If a man claiming to be the child's biological father marries the mother of a child born out of wedlock, the man and the mother may produce proof of the marriage and execute a paternity affidavit under section 2.1 of this chapter. The local health officer shall then remove all evidence of the fact that the child was born out of wedlock from the child's record of birth. The proof of marriage and executed paternity affidavit shall be forwarded to the state department by the local health officer. Upon receiving the proof of marriage and executed paternity affidavit, the state department shall make the corrections to the child's certificate of birth.