An Etymological Dictionary of the German Language/Annotated/Haube

Haube, feminine, ‘hood, cap (woman's), crest, tuft,’ from Middle High German hûbe, Old High German hûba, feminine, ‘covering for the head worn by men (Middle High German, especially by soldiers, ‘peaked helmet, steel-cap’) and women’; compare Anglo-Saxon hûfe, in a special sense ‘mitre’; Scandinavian húfa, feminine, ‘cap, hood.’ The cognates are connected by gradation with Haupt (Aryan root kū̆p).