NYC Neighborhoods. Rose Hill is a neighborhood in the New York City borough of Manhattan. It is bounded by 23rd Street and 30th Street on the south and north, and by First Avenue and Broadway on the east and west.NYC has a rich history in diversity and the city as a whole is nothing more than many small neighborhoods.ulture of Gotham City. Rose Hill is a neighborhood in the New York City borough of Manhattan. It is bounded by 23rd Street and 30th Street on the south and north, and by First Avenue and Broadway on the east and west.