Source : Webster's Revised Unabridged Dictionary (1913)

Beseeching \Be*seech"ing\, a.
   Entreating urgently; imploring; as, a beseeching look. --
   {Be*seech"ing*ly}, adv. -- {Be*seech"ing*ness}, n.

Source : WordNet®

beseechingly
     adv : in a beseeching manner; "`You must help me,' she said
           imploringly" [syn: {importunately}, {imploringly}, {pleadingly},
            {entreatingly}]