Town Hall Address 601 S 1st St Lamesa, TX 79331 United States- Dawson County Website https://www.ci.lamesa.tx.us Fire District 806-872-4352 307 N 1st St Lamesa, TX 79331 United States Town Clerk 806-872-4321 601 S 1st St Lamesa, TX 79331 United States Code Enforcement 806-872-4342 601 S 1st St Lamesa, TX 79331 United States County Dawson