In 1981, Lawrence Ritter and Donald Honig included him in their book The 100 Greatest Baseball Players of All Time.
Stafford returned to baseball briefly during World War I, playing in the industrial leagues where his wartime teammates included Chief Bender and Home Run Baker.
The average major league winning percentage of the opposing pitchers he faced was .595; he faced star pitchers including Eddie Plank, whom he beat twice, and Chief Bender, whom he beat once.
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The pitching staff featured three future Hall of Famers: Rube Waddell, Eddie Plank, and Chief Bender.
Hall of Famers such as John McGraw, Roger Bresnahan, Christy Mathewson, Joe McGinnity and Rube Marquard took part on the Giants side while the Athletics had Connie Mack, Chief Bender, Eddie Plank, Rube Waddell, Frank Baker and Eddie Collins.
These included Louis Sockalexis (Cleveland Spiders, 1897–1899), Charles Albert (Chief) Bender (primarily the Philadelphia Athletics, 1903–1917), and John (Chief) Meyers (primarily the New York Giants, 1909–1917).