Is it legal for a mother to remove her child from her home if the child is 16 and has no where else to live?

Probably not, but she may turn the child over to child services if the child is unmanageable. Most parents would choose to keep their children close and at home. However, that does not mean that the parent has to go above and beyond when the child is abusive, involved in illegal activities--generally when being in the home is doing no one any good. It stands to reason that both parties have to take the responsibility to make home life work--most teenagers know what they have to do. I do not feel that the child is automatically entitled to be provided for if they cannot cope or manage the system. Even kids who must leave for safety need to do so on their own.