Here's an article I spotted on the Peter Brothers Hats website re JFK being honored with a Shady Oaks western hat which he never wore.
http://www.petersbros.com/PRESIDENTS/Default.htm
Apparently, the hat itself is a tad higher and a smidge wider than the Stetson icon.
http://www.petersbros.com/PRESIDENTS/Default.htm
Apparently, the hat itself is a tad higher and a smidge wider than the Stetson icon.