While I'm usually not a fan of made-up names, I actually rather like Emerett! I do prefer Everett, or even Emmett (Everett is by far my favorite boys' -ett name, but Emmett's not too far behind!), but I think I would be quite happy to meet a little Emerett.
Thanks for the opinions everyone! I hadn't made The United Arab Emirates connection! that would be a little weird..... Anyway, Everett and Emrys are still my favorites, but for a minute there I thought I'd had a stroke of genius with Emerett.