I'm not all that big into the higher criticism that verismo has presented, but I am quite aware of the premise.
I, instead, ascribe everything to Moses (whether as compiler or writer).
Regarding the names, one thing that we must keep in mind is that a name in Judaism is much more than a name: it is a meaning.
Elohim, as I'm sure a lot know, is actually a plural form of the word el. This can mean G-d, deity, authority, judges, angels, and a number of things.
In Hebraic thought, the Elohim of Genesis 1 and 2 is considered a heavenly council between G-d and the angels. Christian doctrine has accepted it as a thought conceding the Trinity; however, this was never the case for a Jew.
The Name of G-d, also deemed HaShem (literally "the Name") is the proper name of G-d. There is no other assertion other than this. Everything else is a title or a type of description. The other common written form of this is YHVH; however, no one knows the correct pronunciation. This is where you get Jehovah. Taking the vowel sounds of adonai and putting them on the consonants of YHVH you get Yehovah (there is no "J" in Hebrew).
Shalom,
m.d.
