I live in Florida and want to make sure my name is on my daughters birth certificate. There was a court ordered DNA test that shows I am the fatherand have since be paying child supportWhat do I need to do to be sure my name is added

The pertinent statute is here:

"...
(d) If the paternity of the child is determined by a court of competent jurisdiction as provided under s. 382.015 or there is a final judgment of dissolution of marriage which requires the former husband to pay child support for the child, the name of the father and the surname of the child shall be entered on the certificate in accordance with the finding and order of the court. If the court fails to specify a surname for the child, the surname shall be entered in accordance with subsection (3).
..."

If you have been adjudicated to be the father, the clerk of court should send a report of the judgment to the department of vital statistics, and your name should be entered on the BC.