If you step back and look at this, there's several reasons why it's best to work on detaching from her and focus on you and your kids. That line your wife dropped that there's nothing about her life? That is key. A healthy way to deal with that is to figure out what the problems are without over reacting. We all have things we don't like in our life but if we have healthy coping skills we don't upturn our whole lives.
The fact that she was willing to walk away from her kid tells you something is very wrong. That is not a healthy coping mechanism. So what kind of a person could she be attracting while in a state like this? A broken one because right now she's broken. No emotionally healthy person will be attracted to her.
My advice? Jump off Match. You don't really want to be there as you said. Begin to look at the reasons you went on there despite not really wanting to be on there.
There's nothing you can do to fix this for her and there's nothing you did to cause it. Protect your finances ASAP, focus on you and your kids and welcome to a supportive group of people.
Me 41, H 47, M 15 yrs, S11, S13 BD 1: 11/4/14 we work on it; really I pretzel myself BD 2: 3/31/15 H goes down to "dorm room" 8/15: H back to MBR 10/15: H back in dorm room 1/18: H files, now divorced