According to records there are two sources relating to the origin of the National Anthem before the song Negaraku became the National Anthem of Malaysia. The same tune was once the State Anthem of Perak and it was also the tune of a very popular contemporary song entitled "
Terang Bulan".
History has it that the Negaraku was adapted from the state anthem of Perak, which had a similar melody to the keroncong-influenced "Terang Bulan", a popular song in the 1930s in Indonesia and Malaya.
The history of how the National Anthem was composed is available
here. It does not reference this Hawaiian song.
Seeing as how both "Terang Bulan" and "Mamula Moon" talk about the moon…maybe they have the same roots.
Source:
UnagiFew weeks ago I dug up the same info as quoted above. Who knows who was 1st. But according to
http://www.malaysianmonarchy.org.my, the 1st time Terang Bulan was ever recorded in the history books was in the year 18XX. Felix Mendelssohn recoded his albums in 1939 till 1951. Mamula moon in 1947.