Source : Webster's Revised Unabridged Dictionary (1913)

Curiousness \Cu"ri*ous*ness\, n.
   1. Carefulness; painstaking. [Obs.]

            My father's care With curiousness and cost did train
            me up.                                -- Massinger.

   2. The state of being curious; exactness of workmanship;
      ingenuity of contrivance.

   3. Inquisitiveness; curiosity.

Source : WordNet®

curiousness
     n 1: a state of active curiosity [syn: {inquisitiveness}]
     2: the quality of being alien or not native; "the strangeness
        of a foreigner" [syn: {foreignness}, {strangeness}] [ant:
        {nativeness}]