CANARY-BIRD,
a little arch or knavish Boy; a Rogue or Whore taken, and clapp'd into the Cage or Round-house.
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Entry taken from 1736 Canting Dictionary, by Nathan Bailey.
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Canary Bird in the 1811 Vulgar Tongue
Also see examples in Canting Songs and Slang Rhymes collected by John S. Farmer (1896).