Usually there is nothing of that sort. Since, frequently courts award at least partial custody to both parents, called joint custody. Usually, Joint custody takes one of three forms such as joint physical custody , children spend a substantial amount of time with each parent ; or joint legal custody that is the parents sharing decision-making on medical, educational, and religious questions involving the children, or both joint legal and joint physical custody.
In some places , in New Mexico and New Hampshire, some times the courts are required to award joint custody, except where the children's best interests or a parent's health or safety would be settled. Likewise , many other states expressly allow courts to order joint custody, even if one parent objects to such an arrangement.

So... Sally could you tell me "who gets the custody of a just born child?"...I have searched a lot allwhere but is felt to find the answer...Plzzz help me out.