Which preposition to use with guadeloupe

in Occurrences 1%

There were troubles likewise in various other colonies, as with insurgents in Antigua in 1701 and 1736 and Martinique and Guadeloupe in 1752; with maroons in Grenada in 1765,[40]

under Occurrences 1%

Jamaica, Barbados and other Windward Islands under the English; Hayti, Martinique and Guadeloupe under the French, and Guiana under the Dutch were all more or less thriving as plantation colonies, while Brazil, Virginia, Maryland and the newly founded Carolina were beginning to demonstrate that slave labor had an effective calling without as well as within the Caribbean latitudes.

Which preposition to use with  guadeloupe