Download and print the appropriate form listed below and mail the completed form along with any required documentation and payment to: Office of Vital Records Complete, print, and sign the appropriate form below.Instead, fill out the form: Application for the Correction of a NYC Birth Certificate (PDF). I was just wondering if they're allowed to only accept certain forms of identification. See applications below. If I change my name and get a new birth certificate, what name do I put on forms that ask for my birth name? Instructions. • Complete a separate application for each record requested. • Use this application to mail your request.