A: In most cases, you have to pay a fee when you ask the court to change your childâs name. People with very low incomes can get a fee waiver and do not have to pay the court fee. Click here to find out more about fee waivers.On top of the court fee, you may have to pay to publish notice of the hearing on your petition (the Order to Show Cause for Change of Name) in a newspaper.Publishing the name change notice in a local newspaper is required in most name change cases.n top of the court fee, you may have to pay to publish notice of the hearing on your petition (the Order to Show Cause for Change of Name) in a newspaper. Publishing the name change notice in a local newspaper is required in most name change cases.