How is the home deeded? What exactly does the deed say?
From my (perhaps wrong) interpretation of your very poorly worded post, this is Dads home and he can have whomever he wants live with him.
You have every right to move back to Jersey. If you take the children with you expect her to go to court and file for divorce and for the children to be returned to their (now) home state. The Judge will very likely issue an order for the children to be returned to Colorado as that is the proper...
Wow. Unbelievable. With all that is at risk, you are asking random people on the internet rather than an attorney. Hopefully your client realizes what a grossly incompetent company you represent and takes appropriate legal action.
I highly recommend you do not hire an attorney that sleazes around advice sites looking for clients. Call your state Bar Association and ask for several referrals. Interview them all and then decide who you like best.
I also suggest you edit out your personal information before some nut job...
I've never been a Judge, never clerked for a Judge and never played one on T.V.....even I know one should not piss off the person who holds your freedom in their hands. Common sense. ;)