The Collaborative International Dictionary of English v.0.48:

Nobleness \No"ble*ness\, n.
   The quality or state of being noble; greatness; dignity;
   magnanimity; elevation of mind, character, or station;
   nobility; grandeur; stateliness.
   [1913 Webster]

         His purposes are full honesty, nobleness, and
         integrity.                               --Jer. Taylor.
   [1913 Webster] Nobless

WordNet (r) 3.0 (2006):

nobleness
    n 1: the quality of elevation of mind and exaltation of
         character or ideals or conduct [syn: nobility,
         nobleness, magnanimousness, grandeur]