The Collaborative International Dictionary of English v.0.48:

Famish \Fam"ish\, v. t. [imp. & p. p. Famished; p. pr. & vb.
   n. Famishing.] [OE. famen; cf. OF. afamer, L. fames. See
   Famine, and cf. Affamish.]
   1. To starve, kill, or destroy with hunger. --Shak.
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   2. To exhaust the strength or endurance of, by hunger; to
      distress with hanger.
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            And when all the land of Egypt was famished, the
            people cried to Pharaoh for bread.    --Cen. xli.
                                                  55.
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            The pains of famished Tantalus he'll feel. --Dryden.
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   3. To kill, or to cause to suffer extremity, by deprivation
      or denial of anything necessary.
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            And famish him of breath, if not of bread. --Milton.
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   4. To force or constrain by famine.
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            He had famished Paris into a surrender. --Burke.
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