At the end of the movie, when the carpathia is pulling into new york, she takes Jacks name, and says her name is Rose Dawson. (heck, they would've gotten married anyway, right?)
If you listen to the crazy guy at the beginning, he says that she gets married to a guy named calvert, moves to cedar rapids, and punches out a coupple of kids.

This gets me excited to have so many Wisconsin references in the movie. (Cedar Rapids, Lake Wasota, Chippewa Falls, etc...) I live in WI