Courthouses in Clarksville, Texas, the US. Courthouses locations in Clarksville, Texas. Find the nearest courthouses locations, near you. All types of business services Accounting ATM Bank Courthouse Finance Funeral home Insurance Lawyer Real estate School Travel University All courthouses in Clarksville Red River County Courthouse Courthouse Walnut Street, Clarksville, Texas 75426 Write a review Phone Directions Red River County Judge Courthouse +1 903-427-0370 400 North Walnut Street, Clarksville, Texas 75426 Write a review Phone Website Directions