Havahart
Gosh was a horrible thing to happen to your family, and yes, you want to be with your children right now any mother would want that, so instead of quitting your job, why not take Family Medical Leave [FMLA] ? Your reason sounds like a good enough reason, and this is why the Gov't gave us FMLA
You get 12 weeks [not paid of course

] of leave, you could use the time to take care of your kids, and get some counseling, and try to get back to where you all were prior to the accident. What I know about PTSD and I know alot

is you have to deal with it and so do your kids, you just can't handle something like this on your own, you need a professional to help you .
It's just a thought