There were a bunch of these made around the turn of the last century -- most incorporate the stuff that's on the crest now, but before the crest (and ritual) were standardized there were a *lot* of variations. My guess is that this is one of those variations. I dont' remember when the crest was standardized but i think it was in the 1900s, so that's 30+ years of experimentation by individual chapters.
I'm guessing that if you were to get a hold of this, Fraternity archives could tell you what the big EA is.
Edited to add: This is definitely us, and not another fraternity with the same name, because there's a badge at the top!