The Collaborative International Dictionary of English v.0.48:

Falconet \Fal"co*net\, n. [Dim. of falcon: cf. F. fauconneau,
   LL. falconeta, properly, a young falcon.]
   1. One of the smaller cannon used in the 15th century and
      later.
      [1913 Webster]

   2. (Zool.)
      (a) One of several very small Asiatic falcons of the genus
          Microhierax.
      (b) One of a group of Australian birds of the genus
          Falcunculus, resembling shrikes and titmice.
          [1913 Webster] falcon-gentil