While my situation is not the same as yours, my wife and I broke up several times when we first started dating. Each time I kept going back for more, and I slowly worked my way back into her life. We were married a few years later. Each time we broke up (or at this point have an argument) I strive to make things better with her.
My advice is to be her friend. Send her a thoughtful email or letter once some time has passed. If she ends up dating someone else, let her be happy, and be there for her. My guess is that this mother thing is going to take some time to blow over. In the mean time, enjoy being single and work on those improvements that she mentioned when you broke up.
"When you are in Love you can't fall asleep because reality is better than your dreams."
Dr Seuss