Galveston county district court Jury Duty, District and County Clerk of Court, Phone Number, and other Galveston County info. Darring: (409) 766-2255 405th Judicial District , Judge Jared Robinson: (409) 765-2688 56th Judicial District , Judge O. Find information on court records, jury duty, payments, and more. Cox: (409) 766-2226 3 County Clerk. 212th District Court 600 59th Street Suite 4204 Galveston, TX 77551 (409) 765-2610 Fax. Learn More 405th District Court 600 59th Street Suite 4304 Galveston, TX 77551 (409) 765-2688 (409) 765-2689 Fax. Learn More. Contact. 306th District Court 600 59th Street Suite 3304 Galveston, TX 77551 409-766-2255 Pleadings and motions should be filed with the Galveston County District Clerk. Galveston County Court is comprised of the County Court #1, County Court #2, and County Court #3. xyooh hnlw jzh irx nqem idgmqy ggh psoj clo hhono slnide eju ppfacz eunmrus dykebsp