The Collaborative International Dictionary of English v.0.48:

Crossness \Cross"ness\, n.
   The quality or state of being cross; peevishness;
   fretfulness; ill humor.
   [1913 Webster]

WordNet (r) 3.0 (2006):

crossness
    n 1: an irritable petulant feeling [syn: irritability,
         crossness, fretfulness, fussiness, peevishness,
         petulance, choler]
    2: a disposition to be ill-tempered [syn: crabbiness,
       crabbedness, crossness]