I am saying this without checking, but I had thought that at one point quite a few automakers were all making M4 Shermans. I think the first ones were made by either Chrysler or another smaller company. My memory on that fails me though.

Ah...here is the info courtesy of
www.wwiivehicles.com:
M4: Standardized in October 1941. Built by American Locomotive Co., Baldwin Locomotive Works, Detroit Tank Arsenal (Chrysler), Pressed Steel Car Co., and Pullman Standard Car Manufacturing Co.
M4A1: Standardized in December 1941. Built by Lima Locomotive Works, Inc., Pacific Car and Foundry Co., and Pressed Steel Car Co.
M4A2: Standardized in December 1941. Built by Federal Machine and Welding Co., Fisher Tank Division, General Motors Corp., and Pullman Standard Car Manufacturing Co.
M4A3: Standardized in January 1942. Built by Ford Motor Co.
M4A4: Standardized in February 1942. Built by Detroit Tank Arsenal.
M4A5: Built by American Locomotive Co. for Canada.
M4A6: Built by the Detroit Tank Arsenal (Chrysler).
M4 (105mm): The construction of 2 pilot models based on the M4A4 were authorized by the Ordnance Committee in December 1942. It was tested at the Aberdeen Proving Ground and at Fort Knox, Kentucky. After some modifications it was Standardized in August 1943.
Cheers,
Jim