The Collaborative International Dictionary of English v.0.48:

Filch \Filch\ (f[i^]lch), v. t. [imp. & p. p. Filched
   (f[i^]lcht); p. pr. & vb. n. Filching.] [Cf. AS. feolan to
   stick to, OHG. felhan, felahan, to hide, Icel. fela, Goth.
   filhan to hide, bury, Prov. E. feal to hide slyly, OE.
   felen.]
   To steal or take privily (commonly, that which is of little
   value); to pilfer.
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         Fain would they filch that little food away. --Dryden.
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         But he that filches from me my good name,
         Robs me of that which not enriches him,
         And makes me poor indeed.                --Shak.
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