(a) No distributive share in the estate of a deceased child shall be allowed to a parent if the parent, while such child is under the age of twenty-one years:

1. (1) has failed or refused to provide for the child or has abandoned such child, whether or not such child dies before having attained the age of twenty-one years, unless the parental relationship and duties are subsequently resumed and continue until the death of the child; or

2. (2) has been the subject of a proceeding pursuant to section three hundred eighty-four-b of the social services law which:

   1. (A) resulted in an order terminating parental rights, or
   2. (B) resulted in an order suspending judgment, in which event the surrogate's court shall make a determination disqualifying the parent on the grounds adjudicated by the family court, if the surrogate's court finds, by a preponderance of the evidence, that the parent, during the period of suspension, failed to comply with the family court order to restore the parent-child relationship.

(b) Subject to the provisions of subdivision eight of section two hundred thirteen of the civil practice law and rules, the provisions of subparagraph one of paragraph (a) of this section shall not apply to a biological parent who places the child for adoption based upon:

1. (1) a fraudulent promise, not kept, to arrange for and complete the adoption of such child, or
2. (2) other fraud or deceit by the person or agency where, before the death of the child, the person or agency fails to arrange for the adoptive placement or petition for the adoption of the child, and fails to comply timely with conditions imposed by the court for the adoption to proceed.