Arrgghhh! FIB, you need to find out what you could do about this legally because she has gotten way out of hand now.
Tell your lawyer that while you understand that he wants to get you out of this quickly and all that, you cannot allow her to play mind games with little children regarding their father. That could have lifelong ramifications. You are paying him.
Come on FIB, rattle some cages. This is stuff that is going to really damage them and their relationship with you for years to come.
Time to take off the gloves, I think. Make some calls, write some letters and dont give up until you are satisfied that you have done everything you could to stop her.