The Collaborative International Dictionary of English v.0.48:

Woodman \Wood"man\, n.; pl. Woodmen. [Written also
   woodsman.]
   [1913 Webster]
   1. A forest officer appointed to take care of the king's
      woods; a forester. [Eng.]
      [1913 Webster]

   2. A sportsman; a hunter.
      [1913 Webster]

            [The duke] is a better woodman than thou takest him
            for.                                  --Shak.
      [1913 Webster]

   3. One who cuts down trees; a woodcutter.
      [1913 Webster]

            Woodman, spare that tree.             --G. P.
                                                  Morris.
      [1913 Webster]

   4. One who dwells in the woods or forest; a bushman.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Woodsman \Woods"man\, n.; pl. Woodsmen.
   A woodman; especially, one who lives in the forest.
   [1913 Webster]

WordNet (r) 3.0 (2006):

woodsman
    n 1: someone who lives in the woods [syn: woodsman, woodman]
    2: makes things out of wood [syn: woodworker, woodsman,
       woodman]