Godfather Pinstripe Fedora Hat. The fedora hat is creased lengthwise down the crown and pinched in the front on both sides. Similar hats with a C-crown (with an indentation for the head in the top of the crown) are occasionally called fedoras. The term fedora was in use as early as 1891. Beginning in the 20th century, the fedora came into use as an upper-class clothing accessory. Hats that resemble the soft felt version are often called fedoras even if they are made of straw or twill. This Fedora hat is made of a cotton/polyester mix white material with black pinstripes. Perfect for a night out on the town! One size fits all.