Source : Webster's Revised Unabridged Dictionary (1913)

Earnestly \Ear"nest*ly\, adv.
   In an earnest manner.

Source : WordNet®

earnestly
     adv : in a serious manner; "talking earnestly with his son"; "she
           started studying snakes in earnest"; "a play dealing
           seriously with the question of divorce" [syn: {seriously},
            {in earnest}]