That seems accurate, except that Jack Jackson was never a member of Elizalde's Savoy band, and Fud Livingston and Arthur Rollini didn't join the band until February 1929. Incidentally, Fred's Savoy band was never known as his "Anglo-American Band". That was a term invented by Retrieval for their CD release of the band's Brunswick recordings, but unfortunately it seems to have stuck! At the Savoy, the band was called "Fred Elizalde and his Savoy Music". On records, the Savoy name was dropped as British Brunswick couldn't reach terms with the hotel.