If mother has no intention to provide for her daughter, is that considered child abandonment?

First, has the father's paternity been established legally. If not, he needs to do that immediately as he has no rights to the child otherwise. Second, he can allege she abandoned the child, if he files for a parenting plan, depending on whether she provided any information about her intention to return. Third, when he files to establish a parenting plan, he can ask for child support at the same time. If she isn't working, income will be imputed to her. He should get a lawyer so this is done right to protect the child from going back and forth whenever she decides to return.