The name change petition can be filed in the County Court or Supreme Court of the county where you live. The forms for changing a name or sex designation in the Supreme Court or New York City Civil Court are included in the chart below.Go to the courthouse and fill out a form, showing your current name and the name you want, plus your reason for changing it. An Affidavit of Correction provides notice and description of an error in a prior document and provides the correct information. A complete, "Return To", (name and address) must appear on documents. Sample Document Recording Requirements. A. You must complete form PC 51 or PC 51c to begin a name change proceeding. Use this form (PC 51) unless you have good cause not to publish. A. You must complete form PC 51 or PC 51c to begin a name change proceeding. Use this form (PC 51) unless you have good cause not to publish.