BIRMINGHAM, Alabama (Reuters) - Does U.S. Secretary of State Condoleezza Rice want to be president? Even a young girl at a photo opportunity with Rice in her former elementary school wanted the United States' most prominent black Republican to answer the question. Rice, whose wide smile had been fixed on her face as the 10- and 11-year-olds asked her about growing up in the segregated South and playing the piano, furrowed her brow and narrowed her eyes for an uncomfortable moment. Sitting on a knee-high chair in front of shelves of books and teddy bears -- and next to the...