John R. Orr
August 13, 1918
1933-34 St. Rita's - Chicago (High School)
1934-35 St. Rita's - Chicago (High School)
1935-36 St. Rita's - Chicago (High School)
1937-38 St. Benedicts - Kansas (College)
1939-40 Chicago Duffy Florals (Independent)
1942-43 South Bend Studebakers (Independent)
1942-43 Detroit Eagles (Independent)
1942-43 Chicago Studebaker Flyers (NBL)
1943-44 Sheboygan Redskins (NBL)
1944-45 Chicago American Gears (NBL)
1945-46 Chicago American Gears (NBL)
1945-46 Anderson Chiefs (Independent)
1946-47 Chicago Shamrocks (Independent)
1947-48 Chicago Shamrocks (Independent)
1948-49 Chicago Shamrocks (Independent)
1949-50 Chicago Shamrocks (Independent)
1950-51 Fond du Lac (WSBL)
1950-51 Racine Knights (Independent)
A lot of the problem of looking for him is the multitude of article on Johnny Orr, who coached at Michigan.
Orr was a pitcher who played for a few seasons in the Yankees and Cardinals farm systems.
Orr signed with Sheboygan on November 6, 1943.
Another article I found lists an Orr (maybe this one, maybe the other Orr) as playing with the Anderson Packers and an attendee of St. (unreadable) college.
Kokomo Tribune, Nov 21, 1946
Pitched for Akron in 1940.
This is our best bet:
He is in the St Rita's Hall of Fame
Minor League Baseball Stats
Concluded he is John R. Orr