(a) Except as otherwise provided by Subsection (b), a man who desires to be notified of a proceeding for the adoption of or the termination of parental rights regarding a child that he may have fathered may register with the registry of paternity:
(1) before the birth of the child; or
(2) not later than the 31st day after the date of the birth of the child.
(b) A man is entitled to notice of a proceeding described by Subsection (a) regardless of whether he registers with the registry of paternity if:
(1) a father-child relationship between the man and the child has been established under this chapter or another law; or
(2) the man commences a proceeding to adjudicate his paternity before the court has terminated his parental rights.
(c) A registrant shall promptly notify the registry in a record of any change in the information provided by the registrant. The vital statistics unit shall incorporate all new information received into its records but is not required to affirmatively seek to obtain current information for incorporation in the registry.