The disappearance of the celebrated flier remains perhaps the most tantalizing unsolved mystery in aviation history. In the age of Charles Lindbergh and other daredevil fliers, Amelia Earhart became a household name in 1928, after becoming the first woman to fly across the Atlantic. True, it was as a passenger with a male pilot and copilot, but she soloed across the Atlantic in 1932.
Wired has the story of what happened on July 2, 1937. Link