"Stating that I am planning to do so, with the kids, will be assertion (still need feedback from S), but that I would like to find a solution, with her, to give the kids this experience."
Wasn't her issue not the fact that she didn't want to go to the parks, but that she didn't want to go WITH you? You'll have to reword things as she doesn't see you as significant.
"How do you know when a M is not fixable? I keep getting intimations that this may be too far gone?"
I firmly believe that there is no such thing as an "un-fixable" M unless there is some type of physical or really bad mental abuse. There is not gage or parameters. It depends on you and your efforts. I've seen some of the worst situations turn around.
Have you read Power of Now's thread? I think you'll need to do so.
The only time it will end is when YOU decide to end it.
M-43 W-40 2D - 9 and 5
Emotion, yet peace. Ignorance, yet knowledge. Passion, yet serenity. Chaos, yet harmony. Death, yet a new life.