The original Bomba was the genius work of a Polish man, but was no use from 1938-1939 when the Enigma cipher was strengthened. At which point the Turing-Welchman Bombe was developed. The Battle of the Atlantic ran between 1939 and 1945.

For the much harder Lorenz cipher used by German High Command from 1940, the Colossus machine was developed by Tommy Flowers at the GPO and became operational in 1944.

None of which involved the US Navy, which was my original point.