The Collaborative International Dictionary of English v.0.48:

Privateness \Pri"vate*ness\, n.
   [1913 Webster]
   1. Seclusion from company or society; retirement; privacy;
      secrecy. --Bacon.
      [1913 Webster]

   2. The state of one not invested with public office.
      [1913 Webster]

WordNet (r) 3.0 (2006):

privateness
    n 1: the condition of being concealed or hidden [syn: privacy,
         privateness, secrecy, concealment]
    2: the quality of being secluded from the presence or view of
       others [syn: privacy, privateness, seclusion]