See smirch in Webster's New World Roget's A-Z Thesaurus II
verb
To spread with a greasy, sticky, or dirty substance:
bedaub, besmear, dab1, daub, plaster, smear, smudge. See put on
noun
A discolored mark made by smearing:
blot, blotch, daub, smear, smudge, smutch, splotch, stain. See marks
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