James Henry Donnelly (January 6, 1867 – December 31, 1933) was a Major League Baseball third baseman for the Union Association's Kansas City Cowboys in 1884. His statistics are often included with those of Jim Donnelly, though the two were separate players.^[1][2]

Donnelly played in the minor leagues with the Minneapolis Millers and for a team in Lynn, Massachusetts, before signing with Kansas City. He played in Cambridge, Massachusetts, in 1885 and 1886, and Medford and Randolph in 1887. From 1891, he managed the semi-pro Cambridge Reds. Off-season, he worked as a bookkeeper in Boston's Clinton Market.^{[citation needed]}