According to
A. Wallis Myers and
John Olliff of
The Daily Telegraph and the
Daily Mail, Bundy Cheney was ranked in the world top 10 in 1937 and 1946 (no rankings issued from 1940 through 1945), reaching a career high of sixth in 1946. The
United States Lawn Tennis Association (USLTA) included Bundy Cheney in its year-end, top-ten rankings of U.S. players from 1936 through 1941, 1943 through 1946, and in 1955. She was ranked third in 1937, 1938, and 1941. Bundy was a member of the victorious U.S.
Wightman Cup teams from 1937 through 1939. She was inducted into the
International Tennis Hall of Fame in 2004. Cheney was still competing in selected top level events at the age of 51. In 1967, she defeated a seeded player,
Karen Krantzcke, in the third round of the
Pacific Southwest Championships in straight sets. By the end of her senior age-groups playing career, Cheney had amassed 394 USTA titles — a record.
Grand Slam and other singles tournaments In the first singles match of her career at any Grand Slam tournament, Bundy upset second-seeded
Sarah Palfrey Fabyan in the first round of the
1936 U.S. National Championships. Bundy ultimately lost in the quarterfinals. The first nine times that Bundy Cheney played singles at the U.S. National Championships, she reached at least the quarterfinals. During those (and other) years, she had no "bad" losses at Grand Slam singles tournaments. Her losses were as follows Bundy Cheney also had several significant singles wins at Grand Slam tournaments: Cheney won the singles title at the 1944
Tri-Cities Championships in Cincinnati, defeating Betz in the final. The following year, Cheney was the singles runner-up at that tournament.
Grand Slam and other women's doubles tournaments Bundy Cheney was a three-time runner-up in Grand Slam women's doubles tournaments: 1938 Australian National Championships, 1940 U.S. National Championships, and 1941 U.S. National Championships. Cheney won the women's doubles title at the 1944 and 1945 Tri-Cities Championships in Cincinnati. ==Grand Slam finals==