The office of child support in the department of job and family services shall establish and maintain a birth registry that shall contain all of the following information contained in orders determining the existence of a parent and child relationship and acknowledgments of paternity required to be filed with the office:

1. (A) The names of the parents of the child subject to the order or acknowledgment;
2. (B) The name of the child;
3. (C) The resident address of each parent and each parent's social security number.