I suspect she will end up being tansferred to a secure hospital sometime in the near future.
But the bottom line is she killed someone - she murdered her tiny little girl, and for that she must be punished.
A jury, having heard all the evidence found her guilty of murder - not manslaughter. Therefore they felt that, beyond all reasonable doubt, she intended to kill her little girl. They heard and saw everything and they made that decision. We should go with that.
Is prison the right place? I don't know. She needs to be punished, and severely punished for murdering her daughter. However she most likely is not a threat to anyone else. Is she mentlly ill? Should she be in a secure hospital instead? Again, without the full facts I don't know, but yes - eventually probably.
But let's not forget one thing - she has been found guilty beyond all reasonable doubt, of killing her own little girl with intent. And on behalf of that trusting little girl, we must have this woman punished in some way, surely?