Semi-Open?

I find it very hard to "label" our adoption!  I've been finding with most adoptions, that are "open", you really go through different stages.  When we first brought Alex home we emailed, text, and called his birth mom almost everyday.  I really had a bond with her, and loved her so much that I wanted to "make" everything ok for her after she went home.  I thought if I kept her in our life everyday in some way, that this would help her through.  At two months,and 6 months we also had visits.  She seemed to be handling things well, and I thought our relationship was what it should be. 
As things started to fall apart in her world, so did our relationship.  Emails stopped.  Text and calls were far in between, mostly having to do with her having a new number every couple of weeks, or not have a phone at all.  She stopped asking to visit, and I stopped pushing for visits. By the fall things had really crumbled.  This is when the kids were removed, and she is in a really bad place.  Between this time and Alex's first birthday we had a lot of conversations over text.  I wanted to be there for her.  I've only ever wanted the best for her, and I wanted to help her find it!  By Alex's first birthday I thought things were turning around again, and we invited her to meet up with us for his birthday.  That visit was a nightmare, and it haunted me for weeks after.  That was about the point that I "tired" to cut ties completely!  I did not call, email, or text her anymore.  I have a feeling that she also knew the visit did not go well, because she also stopped contacting me.  I also stopped checking her face book, because the lies, and the drama became too much for me to handle.
That's when the new year hit, and with that came the call asking if we would take the kids!  After spending 2 to 3 weeks trying to cut all ties, trying to get her out of my head, trying to move on, here she was being thrown right into my lap.  So, we did what we needed to do (get licensed) and we took the kids in.  Now it's 4 months into us having the kids and things are even worse for her.  Although she loved the idea of us taking care of the kids at the start, now she is really upset with us, and I think she feels betrayed.  I had gone from caring so much about her and wanting to help, to the kids being my number 1 priority.   I am not sure our relationship with ever be repaired. 
Now she has not seen Alex since December, and I don't think she has even asked about him once, in the last 7 months.  At this point our adoption is "closed" as much as it can be.  It's hard to say that, since we still have to speak with her, while the other kids are in our home.  She will not be seeing him for a long time though.  She is not in a good place in her life, and sadly not someone I am willing to have around Alex.
I truly hope for Alex (and the other two), that she can get on a good path and get things together again some day. Until then I will continue to do everything I can for these three little preciouse gifts!