Source : Webster's Revised Unabridged Dictionary (1913)

Despairing \De*spair"ing\, a.
   Feeling or expressing despair; hopeless. --
   {De*spair"ing*ly}, adv. -- {De*spair"ing*ness}, n.

Source : WordNet®

despairingly
     adv : with desperation; "`Why can't you understand?,' she asked
           despairingly" [syn: {despondently}]