An action to determine the existence of the father and child relationship may be brought at any time prior to the child's eighteenth birthday by the mother or father of said child, by the child, or by the delegate child support enforcement agency. If, however, the statute of limitations in effect at the time of the child's birth was less than eighteen years, the delegate child support enforcement agency may bring an action on behalf of the said child at any time prior to the child's twenty-first birthday. An action brought by a child whose paternity has not been determined may be brought at any time prior to the child's twenty-first birthday. This section and section 19-4-107 do not extend the time within which a right of inheritance or a right to a succession may be asserted beyond the time provided by law relating to distribution and closing of decedents' estates or to the determination of heirship, or otherwise.