I am mixed on this. I feel that it is VERY important in this field to know our limit and you sound like you are at yours with this child. We have ALL been there and I am sending you hugs right now. You must be so incredibly frustrated.
I see Playfelts point about child using getting picked up as ammo yet I do feel that if her behaviour is causing you this much stress, and its impacting the other children in your care, as well as you aren't getting any support from Mom I would be tempted to call. Keep in mind it may get worse with this child and/or Mom may just use it as a reason to pull her.
Are you able to get by financially? That is always a huge thing to consider. Go with your head and not emotion on this.
Personally, I would term this child. I would be saying to mom this is 3 strikes and I can''t allow this kind of behaviour in my home any longer, its impacting care for the others. If it goes on much longer the other kiddos may start copying the behaviour then you are in real big trouble!
Good luck!!!