Source : Webster's Revised Unabridged Dictionary (1913)

Besiege \Be*siege"\, v. t. [imp. & p. p. {Besieged}; p. pr. &
   vb. n. {Besieging}.] [OE. bisegen; pref. be- + segen to
   siege. See {Siege}.]
   To beset or surround with armed forces, for the purpose of
   compelling to surrender; to lay siege to; to beleaguer; to
   beset.

         Till Paris was besieged, famished, and lost. --Shak.

   Syn: To environ; hem in; invest; encompass.

Source : WordNet®

besiege
     v 1: surround so as to force to give up; "The Turks besieged
          Vienna" [syn: {beleaguer}, {surround}, {hem in}, {circumvent}]
     2: cause to feel distressed or worried; "She was besieged by so
        many problems that she got discouraged"
     3: harass, as with questions or requests; "The press
        photographers besieged the movie star"