A Hat For Your Sister Act This nun headdress might look ridiculous, was actually very popular in Europe up until the 17th century and was actually worn by a real order of nuns up until the mid-1960s. Complete your nun costume with this historical hat. The Sister Flighty Hat includes a poly-foam cornette-style wimple with adjustable Velcro band and coif that covers head, neck and shoulders. This nun hat is perfect for plays or costumes.