Disability and Child Support Question?

Tiny bit of back detail.. My husbands ex wife does not have any custody rights to their children (although she is allowed supervised visits) and of course does not pay her very minimal child support. She is an admitted and obvious prescription and narcotic drug abuser. She has no job, no car, yada yada... Well she had been on unemployment up until last week or the week before and we have now learned she is trying for disability. Which would most likely be a fraud case, but whatever. It would most likely be a mental health claim. So I guess I have two questions... how long would it take for her to get approved, if she could. And also, would the children see any money from this? Do they pull child support? Do the kids get a so-called "cut" from her disability or because of her disability? It's not about the money per se, but we would like to put some away in their college savings accounts if they ever do get any.... Thanks for any advice!