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Capparaceae family

Quadrella cynophallophora
(Linnaeus) Hutchinson
, Gen. Fl. Pl. 2: 309.  1967.
Bas.: Capparis cynophallophora Linnaeus (1753).

Black willow
Indigenous tree of deciduous seasonal forest and savanna.
Quite common Cap Estate, Gros Islet, rare/absent elsewhere.
Anguilla, St. Martin, St. Barthélemy, Antigua, Saba, St. Eustatius, St. Kitts, Montserrat, Guadeloupe, La Désirade, Marie Galante, Les Saintes, Dominica, Martinique, St. Lucia, St. Vincent, the Grenadines, Barbados, rest of West Indies, North America, Mesoamerica, South America.
See also the specimens on Gros Piton with much smaller fruits - probably this species.