Complete the amendment form, with no cross outs, no white out, and no correction tape. Sign the application in front of a notary and get a notary seal.If you want to add, remove or replace the name of a parent, please fill out this section. I am requesting to: Add. The Harris County Clerk's office can provide a short form birth certificate for anyone born in the State of Texas. Schedule an appointment or get in line. Location. First, you must establish paternity and then submit the correct form to the Texas Vital Statistics office. New online service to purchase certified copies of Birth Certificates is now available. Click here to place your order. Amendments to vital records include modifications made to filed records.