Just tellin' ya' what I heard, since I grew up in Southern California (about 30 miles away from Catalina Island, as the crow flies) and we had alot of wartime history in the southland.
Also, Consolidated had an initial contract from the USN for PBYs long before 1939. In the years following (between 1935 and 1939), they continued to fill orders as the Navy was upgrading their Patrol squadrons (Hawaii, West Coast and so on): 1935; 60 PBY-1, 1936; 50 PBY-2, 1936; 66 PBY-3, 1937; 33 PBY-4.
Later, when the British adopted Consolidated's name the USN made it official as well.
It might also be found interesting that when Consolidated was on the east coast, making seaplanes for the civilian sector, they were naming their aircraft types after Naval ranks: Admiral, Commodore, etc.