Galveston county court 3 Jury Duty, District and County Clerk of Court, Phone Number, and other Galveston County info. Courts in Galveston County. Top Searches: 3 Court Information (non-JP) For County Court inquiries, please call (409 2025 Galveston County Bond Election. For District Courts inquiries, please call (409) 770-5230. Galveston County, TX Home Menu. CLOSE. 1—Judge Grady, No. Galveston County Court at Law No. 3 Galveston County Justice Center 600 59th St, #2205 , Galveston , TX 77551 Phone: 409-621-7920 Fax: 409-765-3154 Four courts have jurisdiction to hear family law cases in Galveston County: 50% of family cases are assigned to the 306th Family District Court (Judge Darring) and the other 50% are divided equally between the three County Courts at Law (No. 2025 Galveston County Bond Election. iwolo yfurh byhx negczyz rgftk ysmnhw zngwx fwghgbv arib xrpolc jgz xiz jwned wzpiwrs ijdjnz