Sarah Albee: Coneheads
During the late Middle Ages, most unmarried girls wore their hair loose and long. By 1360 or so, and well into the next century, European women began sporting some crazy headgear. In France women wore bourelets—wide, padded rolls on top of the hair, and there and elsewhere, they wore hennins—towering cone shaped headdresses, sometimes with draped veils.
By the early fifteenth century, you might see a horned version, a butterfly-shaped gizmo, and a miter shape (like a bishop’s hat). Flemish women wore a blunter version of the hennin. Italians wore turban-type designs.