Complete and sign the appropriate birth certificate form. Enclose original documents to support the amendment.Learn more about obtaining vital records such as marriage licenses and birth and death records through the Division of Vital Statistics. A birth certificate is an important document for a child and serves as verification of date of birth, place of birth, and parentage. Birth. To obtain a copy of a Florida birth certificate, visit the Orange County Health Department, Office of Vital Statistics. Follow the instructions in this packet. 2. This action will allow the father's name to be placed on the birth certificate. The Orange County Health Department houses the birth and death records for persons who were born in or died in Orange County. For in-person service, customers MUST complete a vital records application prior to visiting our office. (2) In a death case, Form CA-5b should be placed under the other documents.