I'm not sure but I think Janion is first just because the Core release says "Janion Music BMI". However, this is not definitive obviously. If I had both releases I would compare deadwax to see if the same plates were used, a date was there, etc. but I only have the Core release. I think they're the same label though, as they have the same catalog number (102) and the group's next release is 104.
Do you have the second record "loneliness" on elmcor? very hard to find.