An Etymological Dictionary of the German Language/Haube
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Haube, f., ‘hood, cap (woman's), crest, tuft,’ from MidHG. hûbe, OHG. hûba, f., ‘covering for the head worn by men (MidHG., especially by soldiers, ‘peaked helmet, steel-cap’) and women’; comp. AS. hûfe, in a special sense ‘mitre’; Scand. húfa, f., ‘cap, hood.’ The cognates are connected by gradation with Haupt (Aryan root kū̆p).