The New York Giants were an American professional baseball team based out of New York City during the first half of the 20th century. They later moved to San Francisco to become the San Francisco Giants in the latter half of the century.
Willie Mays played most of his career for the Giants. (DS9: "In the Cards") In a vision sent to Benjamin Sisko by the Prophets in 2374, Willie Hawkins was a player for the Giants. In the vision, the Giants were in fifth place in the League. (DS9: "Far Beyond the Stars")