Outlaw came up in the late thirties with Cincinnati and the Boston Bees, then went to Buffalo in the IL for several years before returning to the majors with the Tigers in 1943, playing a part in the Tigers' World Championship in 1945.
Outlaw's Baseball Reference major league page ends his transaction career on this note:
March 23, 1940: Purchased by Buffalo (International) from the Boston Bees.
Okay. He certainly played a lot longer than that. While Buffalo was in the Tigers' minor league system, it appears that Outlaw was owned outright by the Bisons. At least according to this article from the Sept.7, 1943 Ludington Daily News:
“The Tigers had a new man on the bench, Jimmy Outlaw, seasoned minor league outfielder recently purchased from Buffalo of the International League. Outlaw reported to O’Neill Monday.”
O'Neill being Steve O'Neill, the Tigers' manager.
Outlaw served the Tigers well as a 4th outfielder and third baseman until early in 1949, when the Tigers sold him to independent Sacramento of the PCL. From the May 21, 1949 Star-News:
“Jimmy Outlaw, Detroit Tiger utility infielder-outfielder who was given his unconditional release, has been sold to Sacramento of the Pacific coast league, the Detroit management announced today.”
Sacramento was managed by a former Outlaw teammate/coach, the article states that many teams were inquiring about getting Outlaw.
Unfortunately, Outlaw's stay as a Solon wasn't very productive. He hit just .105 in 40 part-time appearances, and was released before the next season. From the April 4, 1950 Montreal Gazette...
“Sacramento gave infielder Jimmy Outlaw his unconditional release today.”
Very short and to the point! Outlaw played one more season at the Class B level before his career as a player was done.