In the Second American Chess Congress, held in New York City in November 1871, Hosmer finished second, scoring 12 out of 16 possible points in a double round robin format, behind George Henry Mackenzie, who scored 14 points.
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In 1885 he won the championship of the New York Chess Club, and the next year he took part in the international tournament held in London, where he defeated Johannes Zukertort and George Henry Mackenzie.
At Paris 1878 Winawer tied for first place (+14−3=5) with Johannes Zukertort, ahead of Joseph Henry Blackburne and George Henry Mackenzie, but took second prize after the play-off.