The Collaborative International Dictionary of English v.0.48:

Sea bass \Sea" bass`\ . (Zool.)
   (a) A large marine food fish (Serranus atrarius syn.
       Centropristis atrarius) which abounds on the Atlantic
       coast of the United States. It is dark bluish, with black
       bands, and more or less varied with small white spots and
       blotches. Called also, locally, blue bass, black sea
       bass, blackfish, bluefish, and black perch.
   (b) A California food fish (Cynoscion nobile); -- called
       also white sea bass, and sea salmon.
       [1913 Webster]

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.]

The Collaborative International Dictionary of English v.0.48:

Bluefish \Blue"fish`\, n. (Zool.)
   1. A large voracious fish (Pomatomus saitatrix), of the
      family Carangid[ae], valued as a food fish, and widely
      distributed on the American coast. On the New Jersey and
      Rhode Island coast it is called the horse mackerel, in
      Virginia saltwater tailor, or skipjack.
      [1913 Webster]

   2. A West Indian fish (Platyglossus radiatus), of the
      family Labrid[ae].
      [1913 Webster]

   Note: The name is applied locally to other species of fishes;
         as the cunner, sea bass, squeteague, etc.
         [1913 Webster]

WordNet (r) 3.0 (2006):

bluefish
    n 1: bluish warm-water marine food and game fish that follow
         schools of small fishes into shallow waters [syn:
         bluefish, Pomatomus saltatrix]
    2: fatty bluish flesh of bluefish