Eliabl is, in fact, an anagram for Bilael--but that is not as common as many of this demon's other aliases such as Bariel, Belial, Beliar, Behemoth, Rasiel, Ziminar, and Turel.
There is more information on him floating around the internet and in the mind's of demonologists--one clue to help you track info down--he controls 66 legions of demons.
Hope this helped!
Also, a legion, in the case of The Bible, was six thousand. Now, he controls 66 legions of 6000, completeing the 66 legions with 666. Some bible quotes are Luke 8:30, and Mark 5:9, which explain the demon who called himself Legion, because there were many.