Josiah Edmund Roberts (1871 – after 1892) was an English footballer born in West Smethwick, then in Staffordshire, who played in the Football League for Small Heath. He joined Small Heath from Birmingham St George's when the latter club folded in 1892. A right back, he played only one competitive game for the club, on 5 November 1892 in a 4–1 win away at Bootle, which was the game after regular left back Fred Speller broke his leg. Roberts returned to non-league football in 1893.