Source : Webster's Revised Unabridged Dictionary (1913)

Bethink \Be*think"\, v. t. [imp. & p. p. {Bethought}; p. pr. &
   vb. n. {Bethinking}.] [AS. be?encan; pref. be- + ?encan to
   think. See {Think}.]
   To call to mind; to recall or bring to recollection,
   reflection, or consideration; to think; to consider; --
   generally followed by a reflexive pronoun, often with of or
   that before the subject of thought.

         I have bethought me of another fault.    --Shak.

         The rest . . . may . . . bethink themselves, and
         recover.                                 --Milton.

         We bethink a means to break it off.      --Shak.

   Syn: To recollect; remember; reflect.

Bethink \Be*think"\, v. i.
   To think; to recollect; to consider. ``Bethink ere thou
   dismiss us.'' --Byron.

Source : WordNet®

bethink
     v 1: cause oneself to consider something
     2: consider or ponder something carefully; "She bethought her
        of their predicament"
     [also: {bethought}]