The Collaborative International Dictionary of English v.0.48:

Desirefulness \De*sire"ful*ness\, n.
   The state of being desireful; eagerness to obtain and
   possess. [R.]
   [1913 Webster]

         The desirefulness of our minds much augmenteth and
         increaseth our pleasure.                 --Udall.
   [1913 Webster]