My fencing helm with Chaperon all though I started out with a hood that is rolled for the Chaperon I altered it later to get it to look better. The reason I needed to alter it was because I didn't make the Liripipe on the hood as long as it needed to be to hang out after the hood was rolled. I sewed it to the Mask. My husband thought I should wire it but I would rather the thread brake then the fabric, so I did not.
Here is a link to the Hats history and variations.