Edith Brown Clement
Atrios says CNN is saying, sort of, that the President's pick is Clement. I'll bet Bush doesn't have any trouble getting to the bottom of that leak. When I find out more about her, I'll post it here.
UPDATE: The Wash. Post says "At Clement's office in New Orleans, a man who identified himself as a law clerk said the judge was not available. 'That's what I've been instructed to say,' he told a caller who asked if she were in Washington."
Slate has profiles of many potential justices, including Brown Clement: "Clement doesn't provide much ammunition for opposition groups, but perhaps not much for conservatives to get excited about either. She hasn't written anything notable off the bench (or at least nothing that's come to light yet), and most of her judicial decisions have been in relatively routine and uncontroversial cases." Really builds confidence.
More from WaPo story on Clement:"She has stated that the Supreme Court 'has clearly held that the right to privacy guaranteed by the Constitution includes the right to have an abortion' and that 'the law is settled in that regard.'" If she really means that, it could get interesting.