Old English bōg arm, twig; related to Old Norse bōgr shoulder, ship's bow, Old High German buog shoulder, Greek pēkhus forearm, Sanskrit bāhu; see bow3, elbow
bough in American English
(baʊ)
noun
branch of a tree, esp. a main branch
Word origin
ME < OE bog, shoulder or arm, hence twig or branch < IE *bhāgus, elbow and forearm > bow3