Sounds like while mutual, it was her who was more eager to get out of the relationship. $hit, she initiated it. She dumped you because she no longer felt it for you, and/or because she was already planning on moving on to another guy.
Women always need certain validation. Just like men need validation. Of course she wants to know and find out if you still have the hots for her. That's her ego boost.
Wether or not she is looking to get back together with you, women are always testing the waters. So it is possible she wants to know where she stands with you before she jumps ship. Which futher confirms the fact that women always have somebody ready in the bullpen. Meaning, she broke up with you but she already had a prospect lined up, regardless of what she says. YOu mean to tell me you two broke up and all of a sudden she got over her family tragedy and instead of going back to the man she "loves", she just happened to find a new guy.
Don't concern yourself with all these answers. Nothing good can come out of this, at least for the moment. Deep inside you'd most likely take her back and are hoping this is what ends up happening. If she was serious about getting back together, she would have looked for you, AFTER breaking up with the new boyfriend.
If a woman isn't smart enough to recognize what you are, she isn't smart enough to be the mother of your children.