These are some of the most common Cowboy Hard Hat accessories:

Cowboy Hard Hat Chin StrapCowboy Hard Hat Chin StrapMade from soft cotton elastic blend, for comfort.  Helps keep your hard hat secure in windy conditions or during quick head movements.  Note the ‘s’ hook which makes it easy to attach.  Clip-on Lights/HoldersCowboy Hard Hat Clip-on Light HolderMost light accessories are made for the traditional hard hat, however there are some clip models which work great – just clip on the brim. 
 Miracool Hard Hat PadCowboy Hard Hat Miracool Hard Hat PadThese little pads help to keep you head cool, even in high-heat areas of the country.  The pad fits securily in your Cowboy Hard Hat.  All you need to do is soak the pad in cold water for 10 to 20 minutes and you are ready to go for the day.  You can use it over and over again. Replacement Suspension (4 or 6-point) Cowboy Hard Hat Occunomix Vulcan 6-Point SuspensionThis is a must if you use your Cowboy Hard Hat a lot.  Eventually, suspensions can loosen up and need to be replaced.  If you buy a Cowboy Hard Hat used, it is a good idea to replace the suspension.  Shown above is a 6-point suspension.  However, there are also 4-point suspensions, depending on the manufacturer.
Replacement SweatbandCowboy Hard Hat Replacement SweatbandShown is the Jackson Safety brand.