I hope nobody pointed this out before
Yesterday I was browsing over some old books of mine and had an "Oh-me-gawd-why-did-I-never-think-of-this-before" moment.
Part of the wave of archaeologic discoveries in the 1920ies and 30ies was the unearthing of a pre-sumerian civilization in Mesopotamia named the Obed- Culture (after a site near ancient Ur), a striking feature of whitch were strange humanoid figurines displaying some kind of Innsmouth Look:

Yes they `re more reptilian than ichthyoid, it `s not really a Tiara they `re wearing and the name is the Bible as well. But I think the semblance is striking. As Lovecraft `s work reflects the progress of ancient history as much as that of the natural sciences this could well have been an inspiration for the Deep Ones.