> Carlebecker writes in English, and then Korean songwriters add new lyrics to her melodies
I believe the correct term would be lyrics, not songs.
A song can have its lyrics translated/altered into an entirely different language and still carry the same weight. Many pop songwriters would argue that the lyrics are one of the least important components.
Non-anglophone countries are full of such songs based on English language originals. Though this musical localization seems have be have been more popular in the past, for multiple reasons.
This is not true. Try listening to "the same" song in two different languages that you can speak, one of which being the language the song was written in.
One of two things will be true:
(a) It is obvious which songs was originally written in that language and which is a translation.
(b) It is not obvious that the two songs are the same.
> I believe the correct term would be lyrics, not songs.
Nope. The lyrics are the song. Music with nothing but lyrics sung to a melody is still a song. Music without lyrics is not a song.
A B C
It's as easy as 1 2 3
Doe Rae Me
You and me
1 2 3 4
I am going to keep on counting
5 6 7 8