No information is available for this page. Public Health Law authorizes the New York State Department of Health to file an amended birth certificate, in place of a certificate that is already on file.Correcting a Birth Certificate. You may not need a court order if you only want to correct a "mistake" on your birth certificate. Refer to the linked document below for answers to basic questions about the birth certificate correction process, including which form to submit. Be careful when you fill out your baby's full name and your mailing address. Correcting a birth certificate can cost money or even require a trip to court. Online through VitalChek. This is the fastest way to get a certificate. Copies of Birth Certificates, Death Certificates and Marriage Licenses are issued from the Office of the Town Clerk.