Please submit your application, supporting documents (if required) and fees to: DSHS – Vital Statistics Section, P.O. Box 12040, Austin, TX 78711-2040. Be a person qualified to make a change or correction.Complete the amendment form, with no cross outs, no white out, and no correction tape. Use these forms for ordering or changing birth records. Form Name, Form Number. To correct errors on a birth or death certificate in Texas you need to follow a specific process and meet certain criteria. Make check or money orders payable to: DSHS - Vital Statistics. How Do I Make a Correction? ☐ Complete all sections and sign the Certificate of Adoption. Request the name change through probate court.