You donu2019t say where you live, and that could make a difference, but here in Pennsylvania there is no such thing as a court-appointed lawyer in a custody case. If you are looking for low-cost or free help with the agreement, look for a Legal Aid or Community Legal Services office in your area, or call the city or county bar association where you live and ask them if they can refer you to someone.In some places, including here in PA, when you file a custody case the first thing you have to do is schedule a mediation session with a court-appointed mediator, who is a lawyer or therapist trained in mediation. You and the childu2019s other parent would go to mediation without counsel, and if you agree to a custody plan in the mediation the mediator would draw up an agreement for you both to sign. And that would be turned into an order. Good luck to you.