The Collaborative International Dictionary of English v.0.48:

Pudding fish \Pud"ding fish\, Pudding wife \Pudding wife\ [Prob.
   corrupted fr. the Sp. name in Cuba, pudiano verde.] (Zool.)
   A large, handsomely colored, blue and bronze, labroid fish
   (Iridio radiatus, syn. Platyglossus radiatus) of Florida,
   Bermuda, and the West Indies. Called also pudiano,
   doncella, and, at Bermuda, bluefish.
   [Webster 1913 Suppl.]