Final answer:
Jamaica Kincaid's 'A Small Place' identifies the Mill Reef Club as an establishment built by North Americans who sought to live in Antigua but did not favor the local Antiguans.
Step-by-step explanation:
In Jamaica Kincaid's book A Small Place, the establishment that was built by people from North America who wanted to live in Antigua but seemed to not like Antiguans is the Mill Reef Club. Kincaid's work examines postcolonial life in Antigua and often critiques the effects of colonialism and tourism on the island's society, landscape, and identity.
Through her writing, she expresses the complex relationship between Antiguans and foreigners, particularly in the context of establishments like the Mill Reef Club that catered to wealthy visitors at the expense of local residents' inclusion and dignity.