The Washington Evening Star awarded medals like this one, showing a star shining over the Washington Monument, to players in the Congressional Baseball Game, which began in 1909. Despite its appeal, the annual game occurred intermittently because of interruptions due to the Great Depression, the Second World War, and intervention by the House leadership. The Washington Evening Star newspaper sponsored the game annually from 1946 to 1958, when Speaker Sam Rayburn ended the game for a few years, contending that it had become too physical.
History, Art & Archives, U.S. House of Representatives, “Washington Evening Star Games Baseball Medal,” https://history.house.gov/Collection/Listing/2008/2008-041-000/ (May 07, 2021)
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