Weary
Old English wērig, wǣrig, of West Germanic origin.
wiktionary
From Middle English wery, weri, from Old English wēriġ, from Proto-Germanic *wōrīgaz, *wōragaz. Cognate with Saterland Frisian wuurich(“weary, tired”), West Frisian wurch(“tired”), Dutch dialectal wurrig(“exhausted”), Old Saxon wōrig(“weary”), Old High German wōrag, wuarag(“drunken”).
etymonline
weary (adj.)
Old English werig "tired, exhausted; miserable, sad," related to worian "to wander, totter," from Proto-Germanic *worigaz (source also of Old Saxon worig "weary," Old High German wuorag "intoxicated"), of unknown origin.
weary (v.)
Old English wergian "to be or become tired" (intransitive), gewergian "to exhaust, to make tired" (transitive), from the source of weary (adj.). Related: Wearied; wearying.