Crumdum, what is your actual question, is it how does the barring order process work?
Very sad that a parent has to be subjected to such abuse by her adult children. I presume they are adult children. She needs to watch out that she is not in any danger by going down this route, this kind of think can set people off. Also pressure will be brought to bear on her by them promising the sun moon and stars in relation to future behaviour in an effort to stop her doing this. She needs to be strong minded.