Question: The manager of the Boston Americans in 1903 was elected to the Baseball Hall of Fame in what year?

Context paragraphs:
Michael T. McGreevy: Michael T. "Nuf Ced" McGreevy (June 16, 1865 – February 2, 1943) was the leader of the most vocal fans of the Boston Americans (now the Boston Red Sox), today known as the "Royal Rooters".  McGreevy owned the Third Base Saloon, which got its name because, like third base, it was the last stop before home.  His saloon was Boston's original sports bar - it was decorated in a baseball theme, with pictures of the players, and a scoreboard on the outside wall.  His nickname "Nuf Ced" was given to him because that was what he usually shouted to end barroom disputes, usually about the Boston Americans and the Boston Braves.  He was an avid member of the L Street Brownies, one of the oldest polar bear swim clubs in the country.

José Méndez: José de la Caridad Méndez (March 19, 1887 – October 31, 1928) was a Cuban right-handed pitcher and manager in baseball's Negro Leagues.  Born in Cárdenas, Matanzas, he died at age 41 in Havana.  Known in Cuba as "El Diamante Negro" (the "Black Diamond"), he became a legend in his homeland.  He was one of the first group of players elected to the Cuban Baseball Hall of Fame in 1939.  He was elected to the U.S. National Baseball Hall of Fame in 2006.

Jack O'Brien (outfielder): John Joseph O'Brien (February 5, 1873 – June 10, 1933) was an outfielder in Major League Baseball.  Between 1899 and 1903 , O'Brien played with the Washington Senators in the National League (1899), and for the Washington Senators (1901), Cleveland Blues (1901), and Boston Americans (1903) of the American League.  A native of Watervliet, New York, he batted left-handed and threw right-handed.

1903 Boston Americans season: The 1903 Boston Americans season was the third season for the professional baseball franchise that later became known as the Boston Red Sox.  The Americans finished first in the American League (AL) with a record of 91 wins and 47 losses.  They went on to participate in the first World Series held between the AL and National League (NL) champions.  The Americans won the 1903 World Series in eight games over the Pittsburg Pirates.  The team was managed by Jimmy Collins and played their home games at Huntington Avenue Grounds.

Pop Rising: Percival Sumner "Pop" Rising (January 24, 1877 – January 28, 1938) was an American right fielder in Major League Baseball who played briefly for the Boston Americans during the season.  Rising was born in Industry, Pennsylvania.  He threw right-handed (unknown batting side).  He was purchased by the Boston Americans from the New London, Connecticut team for $1,200 (August 8, 1905).

Veterans Committee: The Veterans Committee was the popular name of the National Baseball Hall of Fame Committee to Consider Managers, Umpires, Executives and Long-Retired Players; a former voting committee of the U.S. Baseball Hall of Fame that provided an opportunity for Hall of Fame enshrinement to all individuals who are eligible for induction but ineligible for consideration by the Baseball Writers' Association of America (BBWAA).  The term "Veterans Committee" (was composed of four committees of baseball veterans) is taken from the body's former official name: National Baseball Hall of Fame Committee on Baseball Veterans (1953).

1903 Pittsburg Pirates season: The 1903 Pittsburgh Pirates season was the 22nd year the Pittsburgh Pirates played in Major League Baseball.  The club finish their season as National League champions, beating the second-place New York Giants by 6½ games.  They went on to participate in the 1903 World Series, the first to be played between the champions of the National League and American League.  The Pirates started off well, winning 3 of the first four games, but the Boston Americans won the last four straight to win the series five games to three.  The Pirates set a record of 52 consecutive innings without allowing the opposing team to score a run, a record that still stands today. 1

List of World Series champions: The World Series is the annual championship series of Major League Baseball (MLB) and concludes the MLB postseason.  First played in 1903, the World Series championship is determined through a best-of-seven playoff and is a contest between the champions of baseball's National League (NL) and American League (AL).  Often referred to as the "Fall Classic", the modern World Series has been played every year since 1903 with two exceptions: in 1904, when the NL champion New York Giants declined to play the AL champion Boston Americans; and in 1994, when the series was canceled due to the players' strike.

Jimmy Collins: James Joseph Collins (January 16, 1870 – March 6, 1943) was an American professional baseball player.  He played fourteen seasons in Major League Baseball.  Collins was elected to the Baseball Hall of Fame in 1945.

List of Boston Red Sox managers: The Boston Red Sox are a professional baseball team based in Boston, Massachusetts.  The Red Sox are members of the American League (AL) East Division in Major League Baseball (MLB).  There have been 44 different managers in their franchise history; four during the era of the Boston Americans (1901–1907) and the rest under the Boston Red Sox (1908–present).  In baseball, the head coach of a team is called the manager, or more formally, the field manager.  Since 1912, the Red Sox have played their home games at Fenway Park.

Supporting paragraphs: 1903 Boston Americans season Jimmy Collins
Answer: 1945