1. [n]  a blemish made by dirt; "he had a smudge on his cheek"
2. [n]  a smoky fire to drive away insects
3. [v]  make a smudge on; soil by smudging

Smudge
After a raindrop falls on his nose while he is playing with his friends, Smudge the dog looks for a place where they can all stay dry.

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1. \Smudge\, n. [Cf. Dan. smuds smut, E. smutch, or smoke.]
   1. A suffocating smoke. --Grose.
   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.
   3. That which is smeared upon anything; a stain; a blot; a
      smutch; a smear.
   

2. \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.
   2. To smear; to smutch; to soil; to blacken with smoke.