Dumas tx county Find Us. [3] It is named for Edwin Ward Moore, the commander of the Texas Navy. Dumas Avenue Dumas, TX 79029-4448 Mailing Address: P. Set among wide-open plains and captivating blue skies, the pioneering spirit and West Texas charm is alive and well in Dumas and Moore County. Office: (806) 935-1900. The Moore County Sheriff's Office is responsible for upholding law and order within Moore County, Texas, including patrolling the county, responding to calls for service, conducting criminal investigations, and enforcing traffic laws. Population: 21,178 County Seat: Dumas 79029 Square Mileage: 900 Street: 715 Dumas Ave. Dumas Map. Dumas-Moore County. It is the county seat of Moore County. vheuansbyfetvdeupwzalfwxorkizrkciwienisrglybbbaefottkqjxlvoxtwxpvvnamkaboncjtnsp