Hall of Fame
The Hall of Fame was a museum dedicated to baseball in Cooperstown, New York.
In 2373, Jake Sisko falsely told Weyoun that a bust of Willie Mays had suddenly appeared in the Hall of Fame and that, subsequently, Mays was probably a time-traveler. (DS9: "In the Cards")
According to the Star Trek Encyclopedia, 4th ed., vol. 1, p. 69, the Baseball Hall of Fame was established in 1936.