N.J. Stat. § 26:8-49
Corrections to birth and fetal death certificates shall be signed by the person who made the original report or by either of the parents of the child or by any other person having personal knowledge of the matters sought to be corrected which other person shall state such matters on his oath.
Corrections may also be signed by any person whose birth report is in error provided substantiating documentary proof, satisfactory to the State registrar or any local registrar, is submitted therewith and noted by said State registrar or local registrar upon the written request for correction. In the case of a correction to the birth record of a member of one of the three New Jersey tribes of American Indians, the Powhatan-Renape Nation, the Ramapough Mountain Indians, or the Nanticoke-Lenni-Lenape Indians, the substantiating documentary proof may include, but shall not be limited to, an affidavit, satisfactory to the State registrar or any local registrar and signed by the chief of the tribe that according to tribal records the person whose certificate is to be amended is a member of the tribe of the chief whose signature appears on the affidavit.
N.J.S. § 26:8-49