The Collaborative International Dictionary of English v.0.48:

Smudge \Smudge\, n. [Cf. Dan. smuds smut, E. smutch, or smoke.]
   1. A suffocating smoke. --Grose.
      [1913 Webster]

   2. A heap of damp combustibles partially ignited and burning
      slowly, placed on the windward side of a house, tent, or
      the like, in order, by the thick smoke, to keep off
      mosquitoes or other insects. [U. S.] --Bartlett.
      [1913 Webster]

   3. That which is smeared upon anything; a stain; a blot; a
      smutch; a smear.
      [1913 Webster]
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Smudge \Smudge\, v. t. [imp. & p. p. Smudged; p. pr. & vb. n.
   Smudging.]
   1. To stifle or smother with smoke; to smoke by means of a
      smudge.
      [1913 Webster]

   2. To smear; to smutch; to soil; to blacken with smoke.
      [1913 Webster]

WordNet (r) 3.0 (2006):

smudge
    n 1: a smoky fire to drive away insects
    2: a blemish made by dirt; "he had a smudge on his cheek" [syn:
       smudge, spot, blot, daub, smear, smirch, slur]
    v 1: make a smudge on; soil by smudging [syn: smear, blur,
         smudge, smutch]