I think Francesca was right to not go with Robert as she thought in her family and didn't think only in herself, although I'm sure she wanted to go with Robert, because she wasn't happy with her family because they didn't pay much attention to her. If I were her, I would do the same. We must also say that although they were just four days together was a true love, not only a passenger love. I think that love lasted forever although were never together. In my opinion Robert had a big detail to leave her all those memories at the time of his death.
https://drive.google.com/file/d/0B5BbFoh0KP-qYlYzV2drTjVCM0E/edit?usp=sharing