This topic came up in old editions of ''Restored Cars'' [ no. 20 Jan. Feb. 1977, Australia].
The cars were 5W Coupes [Australian built] & 6 were apparently made for Ford Exec.s
The one in the above edition was then in NSW with 59K miles.
I also recall another one featured that I think was in Sth Australia at the time.
This should be a good one for Mercman to further investigate & put up some pic.s
Mr. Husheers '34 Deluxe as mentioned by Trevo, was unusual & also featured originally artillery type [non Ford] wheels, since removed. He bought it while waiting for either one of his usual Pierce Arrow, Studebaker or other top line cars he had chauffeur driven around Napier in the Thirties.
Interestingly, his daughter had 1 of 3 only 1929 Deluxe Cabriolets imported to NZ. A pic. of it turns up amongst the earthquake photos in Napier in 1931 where it is surrounded by destruction in a street scene.