Weariness \Wea"ri*ness\, n. The quality or state of being weary or tried; lassitude; exhaustion of strength; fatigue.

With weariness and wine oppressed. --Dryden.

A man would die, though he were neither valiant nor miserable, only upon a weariness to do the same thing so oft over and over. --Bacon.

Source: Webster's Revised Unabridged Dictionary (1913)