Oh I understand that, I don't mean to take away anything from the important mysteries and vagueness of the mythos by any means. I just want to understand further in the aspects of simple relations between Lovecraftian beings and notable Old Ones, Outer Gods, Elder Gods, etc. Just any examples that join them in the most basic of ways.
That's exactly what I mean, yeah. Even if it's non-Lovecraft, just as long as it's part of the major contributors to the mythos, like Howard and Derleth for example.
A Gug for instance; I can't seem to find anything relating it to the gods, other than being native to the Dreamlands. Well the Great Ones rule over the Dreamlands, and Nyarlathotep rules over them, so he's the closest I could just barely associate Gugs with. Byakhee though, apparently serve Hastur or at least are rode by his followers, so I'd definitely be placing them with Hastur.
I'm organizing this in the idea of a game anyways, basically I hope to have at least 4 gods with 3 creatures associated with each. I'd like it to be as accurate to the mythos as possible, because I think a list like this could be useful to more people.