I don't know, Robert . . . as I've said before, I've never seen the movie, so this isn't concrete or written in stone or anything, but I've heard that the whole movie pretty much is of a reporter talking to an elderly lady in a nursing home, and the love story is like the eldery lady's flashback - hence, "She'll (Rose) be 101 this month . . . (Anastasia reference)". That was before the flashback, then during the flashback they're on the Titanic . . . hence the name, Titanic.
RHB, feel free to correct me if I'm wrong . . .