Courthouses in Lamesa, Texas, the US. Courthouses locations in Lamesa, 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 All courthouses in Lamesa Lamesa Municipal Court Courthouse +1 806-872-4343 601 South 1st Street, Lamesa, Texas 79331 Write a review Phone Website Directions