Different musical settings of the same poem

I recently created a relationship between the recording “Di Elter” by the Klezmatics to the work “די עלטתער”, a poem by Itzig Feffer. I found the same work had also been recorded by a different artist. Only later did I find that both while recordings use the same text the music is different and has been composed by the groups who did the recording. What is the canonical way of dealing with this? Since there are presumably quite a few poems that have been put into music multiple times, I guess there is a rule for this case, isn’t there?

There is 1 Poem Work, with only Lyricist.
Then, linked to this, there are 2 Song Works, with different Composers.

An example with LE DORMEUR DU VAL.