I clicked a link on that page and got my Fairy Name. fun, but slightly lame. I was hoping for something more sinister, but I guess I have to go find a Goth Fairy Name Generator for that eh?
Your fairy is called Buttercup Reedwand
She is a panpipe player and enchantment singer.
She lives in clover fields where fairy rings grow.
She is only seen when the seer holds a four-leafed clover.
She wears bright clover green. She has gentle green butterfly wings.