
1) Cone-shaped headdress
Found on
https://www.crosswordclues.com/clue/hennin

The hennin n was a headdress in the shape of a cone or `steeple`, or truncated cone worn in the late Middle Ages by European women of the nobility. They were most common in Burgundy and France, but also elsewhere, especially at the English courts, and in Northern Europe, Hungary and Poland. They are little seen in Italy. It is unclear what style.....
Found on
http://en.wikipedia.org/wiki/Hennin

(from the article `dress`) Both men and women wore a steeple hat of felt or the more expensive beaver. Men also wore the montero cap, which had a flap that could be turned ...
Found on
http://www.britannica.com/eb/a-z/h/37

A high conical hat with a veil attached at the top, worn by women during the 15th century.
Found on
http://www.encyclo.co.uk/local/21746

The hennin was a cornet head-dress in the form of an elongated cone hung with elaborately arranged veils and worn by women in 15th century England.
Found on
http://www.probertencyclopaedia.com/browse/PH.HTM

eventually the horns became so tall and vertical they merged into one tall horn. In England, the cone had a flat top and would not exceed a height of nine inches. Compared to the 2-3 feet of Continental styles, this was modest. Transparent veils were attached to the top, or draped, sometimes to the ground.
Found on
https://www.encyclo.co.uk/local/22755
No exact match found.