The following counties may not conduct a countywide election on the running at large of cattle: Andrews, Coke, Culberson, Hardin, Hemphill, Hudspeth, Jasper, Jefferson, Kenedy, Kinney, LaSalle, Loving, Motley, Newton, Presidio, Roberts, Schleicher, Terry, Tyler, Upton, Wharton, or Yoakum.