Yes, the skies...
How often do "skies" play any role in Tolkien's writings?
So as for your attempt, as you have expected, not really. This is much more off than your previous general analysis. In fact, it is very very much off, except for the fact that you happened to mention one related thing, which has not been mentioned on this thread before.
I would maybe say one more thing. Have you noticed that the whole riddle is written so that the subject addresses "you"? So the subjects present in the riddle are: the answer, then some "you" which is being addressed (and whose friends can be brought), then there happens to be "the first of you" (showing that the "you" probably should be a plural...); and then there is the one defined only as "the second one"; and then the third one, whom
you don't know.