1) Headwear for Rogers or Autry 2) Rodeo clothing 3) Top of a range 4) Western topper 5) Wild West headgear 
The cowboy hat is a high-crowned, wide-brimmed hat best known as the defining piece of attire for the North American cowboy. Today it is worn by many people, and is particularly associated with ranch workers in the western and southern United States, western Canada and northern Mexico, with country-western singers, and for participants in the Nort...
(from the article `sombrero`) In Mexico the brim of the sombrero could be as much as two feet (60 centimetres) wide. Adopted by ranchers and frontiersmen in the United States, the ...
(see ten gallon) Hat with high crown and wide brim, originally worn by cow hands. Usually made of felt or leather.
[n] - a hat with a wide brim and a soft crown
ten-gallon hat noun a hat with a wide brim and a soft crown; worn by American ranch hands
a broad-brimmed hat with a high crown, usually of soft felt, as worn by cowboys and ranchers.