Who was the first woman to sail around the world?

You are probably referring to Amelia Earhart. During the 1920s, there were a number of women aviators who were setting records, but Amelia became the first woman aviator (or "aviatrix" as they were then called) to make a solo flight across the Atlantic, just like Charles Lindbergh had done in 1927. Amelia completed her transatlantic flight in May 1932. (She had been part of a three-person team that crossed the Atlantic in 1928, but this was her first successful solo trip.)