NOUN (2)

1. a country on the island of Jamaica; became independent of England in 1962; much poverty; the major industry is tourism;

2. an island in the West Indies to the south of Cuba and to the west of Haiti;

The Collaborative International Dictionary of English v.0.48:

Jamaica \Ja*mai"ca\, n.
   One of the West Indian islands.
   [1913 Webster]

   Jamaica ginger, a variety of ginger, called also white
      ginger, prepared in Jamaica from the best roots, which
      are deprived of their epidermis and dried separately.

   Jamaica pepper, allspice.

   Jamaica rose (Bot.), a West Indian melastomaceous shrub
      (Blakea trinervis), with showy pink flowers.
      [1913 Webster]

U.S. Gazetteer (1990):

Jamaica, IA (city, FIPS 39225)
  Location: 41.84550 N, 94.30719 W
  Population (1990): 232 (104 housing units)
  Area: 1.2 sq km (land), 0.0 sq km (water)
  Zip code(s): 50128
Jamaica, NY
  Zip code(s): 11430, 11432, 11433, 11434, 11435, 11436
Jamaica, VA
  Zip code(s): 23079
Jamaica, VT
  Zip code(s): 05343