Bummer! It sounds like your friend is going through a rough patch in her life and for whatever reason it is spilling over into your friendship. I have had some similar experiences and cut ties with people who couldn't be a positive influence in my life. I'm feeling really good about it...BUT here's what hindsight has influenced for me:
Maybe try not to take it too personally and extend some compassion to her. It sounds like you are extending compassion, but it also sounds like you miss her dearly and are trying to be closer to her when maybe she just needs some space to be able to find clarity. It's possible she has other stresses influencing her and that frequent contact from you maybe is the scape-goat for not addressing those other things. Maybe it's easier to exert her negative energy towards you that the actual things happening in her life that are impacting her so much.
I might suggest to continue caring for her, continue viewing her as a friend, but maybe let time pass and leave the ball in her court for how frequently she wants to see you and your family. Let her invite you to events. And if a lot of time goes by then try not to carry hurt or a grudge. Maybe try to view her as someone who needs more space than usual and wish her well...this means not spending your time away from her e-mailing her frequently or calling, and it definitely means not thinking about how horrible it is that she's ignoring you. I guess what I'm trying to say is to let her carry this weight because it seems to belong to her, and wish her well. Then when she does contact you, find a way to be genuinely happy and curious about how life has been since you last spoke.
If you don't think you can or should have to do any of this, that's ok too. Cut your losses and move on. I won't say that I regret not having the same friends I used to because they were pretty selfish and would have made my life as a new parent impossible and very hurtful I'm sure, but I do wish I didn't get soooooo hurt myself by it all. Because life is a journey where people join us for different periods of time and sometimes, it's just time to go a different direction. But sometimes, it's okay to walk alone and rejoin them later too:)
Hope this makes sense and helps in some way!