I was interested to read the discussion of Hawaiian music and
particularly Joyce Brite's explanation of possible reasons for it being
the rage in the teens of this century.

The fad is certainly reflected on Wurlitzer band organ rolls.  Here is
the list that Robbie asked for:

  Hawaiian Nights (Lee S. Roberts)
  Kilima Waltz (Keoki E. Awai)
  Dreamy Hawaiian Moon (Lee S. Roberts)
  My Own Iona = Moi-one Ionae (Friedland & Morgan)
  Hawaiian Butterfly (Baskette & Santly)
  Back To Hawaii And Me (Bob Allan)
  They're Wearing 'Em Higher In Hawaii (Halsey K. Mohr)
  Island Of Love = Oahu-a (Mabel E. Fischer)
  Hawaiian Moonlight (F. Henri Klickmann)
  Hawaiian Breezes (J.A. MacMeekin)
  Drowsy Waters = Wailana (Jack Ailau)
  Hawaiian Lullaby (Ethel Bridges)
  Honolulu Eyes (Violinsky)
  Dreamy Paradise (Van Alstyne & Schmidt)
  Dreamy Hawaii (F.W. Vandersloot)
  Hawaiian Moon (King Hall)
  Hawaiian Chimes (Eva Applefield)
  Ka-Lu-A (Jerome Kern) (held by U.S. Supreme Court to have
    infringed Bernard & Black's copyright on Dardanella)
  Along Hawaiian Shores (Anna Brock)
  Hawaiian Nightingale (Vaughn De Leath)
  My Old Hawaiian Home (F.W. Vandersloot)
  One, Two, Three, Four (Jack Ailau)
  When Those Sweet Hawaiian Babies Roll Their Eyes (Jack Ruby)
  Hawaiian Love (Terris & Bridges)
  Sweet Hawaiian Girl Of Mine (Sam A. Perry)
  My Hawaiian Paradise (Sammy Feinberg)
  Waikiki, I Hear You Calling Me (Kalmar & Ruby)

and of course,
  Aloha Oe, the Hawaiian national anthem by Queen (in 1884
    Princess) Liliuokalani.

Possibly Harry Von Tilzer's On The South Sea Isle and his On The Hoko
Moko Isle fit here.  Late entries are: My Little Grass Shack In
Kealakekua, Hawaii (Cogswell, Harrison & Noble, 1933) and The Hawaiian
Wedding Song = Ke Kali Nei Au (Charles E. King, 1958)

Matthew Caulfield