Correction/clarification of the above information:
According to http://www.abc.net.au/classic/daily/stories/s433754.htm –

Debroy Somers (not Summers) was the bandleader. The band was called "Debroy Somers and his Band." Dan Donovan was the vocalist.

By the way, it appears that the composer/lyricists were Americans, but the Somers and Donovan were British. I haven't run across any information about an early recording by an American band.