"to tremble," late 15c., perhaps imitative, or possibly an alteration of quaveren (see quaver), or from Old English cwifer- (in cwiferlice "zealously"), which is perhaps related to cwic "alive" (see quick (adj.)). Related: Quivered; quivering. As a noun in this sense from 1715, from the verb.
"case for holding arrows," early 14c., from Anglo-French quiveir, Old French quivre, cuivre, probably of Germanic origin, from Proto-Germanic *kukur "container" (source also of Old High German kohhari, German Köcher, Old Saxon kokar, Old Frisian koker, Old English cocur "quiver"); "said to be from the language of the Huns" [Barnhart]. Related: Quiverful.