Greenwood Heights is a neighborhood in the New York City borough of Brooklyn, named partially after the adjacent Green-Wood Cemetery by real estate developers. Greenwood Heights is a part of Brooklyn Community District 7 along with Windsor Terrace, Sunset Park and South Slope. The much-debated borders are roughly the Prospect Expressway to the n…Greenwood Heights is a neighborhood in the New York City borough of Brooklyn, named partially after the adjacent Green-Wood Cemetery by real estate developers. Greenwood Heights is a part of Brooklyn Community District 7 along with Windsor Terrace, Sunset Park and South Slope. The much-debated borders are roughly the Prospect Expressway to the north, Gowanus Canal and Upper New York Bay to the west, Eighth Avenue to the east, and 39th Street to the south.