An Affair to Remember
After divorcing from Silva, Costner went on to have a brief affair with Bridget Rooney, who was described by Parade as a Pittsburgh Steelers heiress. She fell pregnant and claimed the baby was Costner’s – however, allegedly, he demanded a paternity test before he accepted the baby boy, born in 1996 and named Liam, as his own. Rooney consented, and the results revealed Liam was, in fact, Costner’s son.

Source: daily-choices.com
Despite the rocky start to their father-son relationship, Costner later set up a trust fund in Liam’s name after the results of the paternity test were revealed. According to a source who spoke to People magazine, Costner saw Liam “occasionally but not on a regular basis.” By now, at age 41, Costner had four children.