The guy she was embroiled in a paternity suit with, West Naze, is the Executive VP of a subsidiary of News Corp, which also owns Fox News. The suits and countersuits between the two of them went on for many years. It must have been quite acrimonious. Which makes it even more ironic that her current fiancee (with whom she has been cohabiting for a few years without benefit of marriage) has "friended" West Naze on facebook.
Paternity suits of this kind (to prove you ARE the father of a child born to a woman married at the time to somebody else) are quite rare and would suggest an unusual reason. He’s clearly not worried about being overcome by child support issues. Perhaps he wants to adopt the child.