There are two types of custody, which are physical custody and legal custody.  Physical custody means the parent with whom the child lives.  Legal custody means making decisions about the child's education, health care, etc.The court looks at what is in the best interests of the child.  The court is not going to take the child from your home where he/she is accustomed to living and grant physical custody to a father in another state.  It is possible that joint legal custody may be granted which would mean that both you and the father would both make decisions about the child's education, health care, etc.  Child support is a separate issue.