The Collaborative International Dictionary of English v.0.48:

Homeless \Home"less\, a. [AS. h[=a]mleas.]
   Destitute of a home. -- Home"less*ness, n.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

homelessness \homelessness\ n.
   the state or condition of having no home, especially of
   living in the streets.
   [WordNet 1.5]

WordNet (r) 3.0 (2006):

homelessness
    n 1: the state or condition of having no home (especially the
         state of living in the streets)