Source : Webster's Revised Unabridged Dictionary (1913)

Madly \Mad"ly\, adv. [From {Mad}, a.]
   In a mad manner; without reason or understanding; wildly.

Source : WordNet®

madly
     adv 1: in a desperate manner; "she fought back madly"
     2: in an insane manner; "she behaved insanely"; "he behaves
        crazily when he is off his medication"; "the witch cackled
        madly"; "screaming dementedly" [syn: {insanely}, {crazily},
         {dementedly}] [ant: {sanely}]
     3: (used as intensives) extremely; "she was madly in love";
        "deadly dull"; "deadly earnest"; "deucedly clever";
        "insanely jealous" [syn: {insanely}, {deadly}, {deucedly},
         {devilishly}]