He played part of the 1912 season in the majors with two different teams, the Chicago White Sox and the New York Highlanders.
Paddock began his professional baseball career as a pitcher with the Vancouver Beavers of the Northwestern League in 1908.
After two years with Vancouver, he was converted to an infielder in 1910 while playing for the Calgary Bronchos of the Western Canada League.
After the 1912 season, Paddock returned to the minor leagues with the Rochester Hustlers, who purchased him from New York.
Starting that season, he spent the rest of his career primarily as an outfielder, although he did pitch briefly for the Mitchell Kernels of the South Dakota League in 1920.