The Collaborative International Dictionary of English v.0.48:

Quarrelsome \Quar"rel*some\, a.
   Apt or disposed to quarrel; given to brawls and contention;
   easily irritated or provoked to contest; irascible; choleric.
   [1913 Webster]

   Syn: Pugnacious; irritable; irascible; brawling; choleric;
        fiery; petulant.
        [1913 Webster] -- Quar"rel*some*ly, adv. --
        Quar"rel*some*ness, n.
        [1913 Webster]

WordNet (r) 3.0 (2006):

quarrelsomeness
    n 1: an inclination to be quarrelsome and contentious [syn:
         quarrelsomeness, contentiousness]