Source : Webster's Revised Unabridged Dictionary (1913)

Imploring \Im*plor"ing\, a.
   That implores; beseeching; entreating. -- {Im*plor"ing*ly},
   adv.

Source : WordNet®

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