Back in the 1970s, we find out that Rebecca was having trouble bonding with Randall/Kyle. She decided to seek out William/Shakespeare and ensure that he would never come for his baby. William promised he wouldn't, but suggested that Rebecca change his name, and that's how Kyle became Randall. As she returns home to Jack, dutifully caring for all three children, she confesses her thoughts are with the baby they lost. Jack confesses the same. They embrace and she out of nowhere tells Jack they should change Kyle's name to Randall. Jack's cool with it, and all is well for now.