Source : Webster's Revised Unabridged Dictionary (1913)

Obsequiously \Ob*se"qui*ous*ly\, adv.
   1. In an obsequious manner; compliantly; fawningly. --Dryden.

   2. In a manner appropriate to obsequies. [Obs.]

            Whilst I a while obsequiously lament The untimely
            fall of virtuous Lancaster.           --Shak.

Source : WordNet®

obsequiously
     adv : in an obsequious manner; "she acts obsequiously toward her
           boss" [syn: {subserviently}, {servilely}]