The Collaborative International Dictionary of English v.0.48:

Besmoke \Be*smoke"\, v. t.
   1. To foul with smoke.
      [1913 Webster]

   2. To harden or dry in smoke. --Johnson.
      [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

39 Moby Thesaurus words for "besmoke":
   attaint, bedaub, begrime, bemire, bemud, besmear, besmirch,
   bestain, blacken, blur, brand, darken, daub, dirt, dirty, dirty up,
   discolor, dust, grime, mark, mire, muck, muck up, muddy, scorch,
   sear, singe, slime, slubber, slur, smear, smirch, smoke, soil,
   soot, stain, stigmatize, taint, tarnish