Terminating a parent’s rights or taking his consent and relinquishment without a pending adoption primarily occurs  in DSS cases. The Court approving a Consent and Relinquishment or terminating a parent’s rights without a pending adoption is rare in private actions. The person would have had to have done something  egregious to warrant a Court terminating

In addition to following South Carolina Termination of Parental Right Statutes under Section 63-7-2570 of the South Carolina Code of Laws, as amended, or the Notification Statute under Section 63-9-730 of the South Carolina Code of Laws, as amended to terminate an Indian parent’s rights, the petitioners must follow the requirements of the ICWA.

Specifically

“In South Carolina, there is a common law presumption that a child born during lawful wedlock is a child of the marriage.”  Fisher v. Tucker, 388 S.C. 388, 697 S.E.2d 548 (S.C. 2010).

“No judgment of divorce from the bonds of matrimony shall render illegitimate the child begotten of the marriage.” Section 20-3-200

The U.S. Department of State explains the Hague Adoption Convention at Understanding the Hague Convention Page. The long and the short of it is that  intercountry adoptions amoung Hague Convention Countries are heavily regulated by both the U.S. (which is a Hague Convention Country) and the other Hague Convention Country. One of the requirements is that you will need to work with an