If the other parent relinquishes for or consents to, or proposes to relinquish for or consent to, the adoption of a child, the mother shall be given notice of the adoption proceeding and have the rights provided under Part 2 (commencing with Section 8600) of Division 13, unless the mother’s relationship to the child has been previously terminated by a court or the mother has voluntarily relinquished for or consented to the adoption of the child.