Ireth
Myth Weaver
Everything I've read about querying and such assumes that the first book isn't finished, let alone the entire series (although that also includes nonfiction with fiction).
I have to wonder why anyone would query an unfinished book -- not simply an unpolished one, but literally a half-finished manuscript. It's one thing to have a synopsis or blurb of where you want the story to go, but you may find that the story changes as you write, and then the blurb/synopsis you wrote will be useless. If the story changes too much from your original vision, then the publisher may not want your story after all.