Why didn't the Scrooge marry the girl he loved? How do you know that the Belle was happily married?

Scrooge wanted money more than he wanted love. Belle breaks off their romance, reproaching him for replacing his love for her with the pursuit of money. The scene changes and Belle is now the mother of a raucous, affectionate brood of children. Her husband comes home and tells her he saw Scrooge sitting alone in his office.