1.  battle-axe(n = noun.person) battle-ax - a sharp-tongued domineering wife;
is a kind of married woman, wife

2.  battle-axe(n = noun.artifact) battle-ax - a broadax used as a weapon;
is a kind of broadax, broadaxe
is a part of halberd
has particulars: lochaber ax, poleax, poleaxe

   A kind of broadax formerly used as an offensive weapon. [1913 Webster]