 Stoddard first reached the majors with one appearance in 1975.He was released by the White Sox organization in March, 1977 and was signed by the Baltimore Orioles.After a second brief majors call up in 1978, Stoddard made a Major League Roster for good in with the Baltimore Orioles; that year, he pitched in 29 games, winning three and saving three others, with a 1.71 earned run average in 58 innings pitched.