Hello, can someone get custody of a child without finishing the neglecting of a child charge?

While no one can offer you any guarantees or promises, given the history of you have posted, I doubt that the mother would be allowed equal placement of the child. She may be afforded some type of limited visitation or placement, that could be court ordered supervised for the protection of the child. If there is an issue as to placement, the court willl appoint a guardian ad litem and make recommendations to the court about her visitation. The GAL would interview both parties and if the child is age appropriate, the child(ren) as well. Custody refers to decision making. I assume you meant placement by your question posed.