Gollum and Eagles: Deux ex machina?

[Legolas]

Eru is God of Ea. I simply continued to use "God" to further emphasize that he is The God of Ea.

Or well, that person who is responsible for the music but who isn't directly named, who is conspicuous by his absence from LotR?

I don't know exactly what you mean - feel free to be explicit - but I am speaking as the story is a continuous one in which the author need not reintroduce characters in each episode.