twig (n.) Look up twig at Dictionary.com
Old English twig "twig, branch, shoot, small tree," from Proto-Germanic *twigga "a fork" (cognates: Middle Dutch twijch, Dutch twijg, Old High German zwig, German Zweig "branch, twig"), from PIE *dwi-ko-, from *dwo- "two" (see two). Compare Old English twisel "fork, point of division."