Source : Webster's Revised Unabridged Dictionary (1913)

Narrowly \Nar"row*ly\, adv. [AS. nearulice.]
   1. With little breadth; in a narrow manner.

   2. Without much extent; contractedly.

   3. With minute scrutiny; closely; as, to look or watch
      narrowly; to search narrowly.

   4. With a little margin or space; by a small distance; hence,
      closely; hardly; barely; only just; -- often with
      reference to an avoided danger or misfortune; as, he
      narrowly escaped.

   5. Sparingly; parsimoniously.

Source : WordNet®

narrowly
     adv : in a narrow manner; not allowing for exceptions; "he
           interprets the law narrowly" [ant: {broadly}]