Question: Who is a former coach of a World No. 1 player, Elizabeth Smylie or Paul Annacone?

American tennis player Pancho Gonzales had a long-running rivalry with Australian Ken Rosewall.  Gonzales is still sometimes considered to be a candidate for the greatest tennis player of all time; he was the dominant player of the 1950s and still holds the men's all-time record of being ranked world No. 1 for eight years.  Rosewall became the world's best player upon Gonzales's semi-retirement in 1961 and held that position either by himself or sharing it with others for six years.  Rosewall was signed in 1956 by the promoter Jack Kramer, a former #1 player himself, to join his small band of touring professionals in 1957.  He then engaged in a round-the-world, head-to-head tour against Gonzales, the defending world's champion, over the next five months, winning 26 matches but losing 50.  In his 1979 autobiography Kramer included both Gonzales and Rosewall in his list of the 21 greatest players of all time.  Kramer, however, initially "panicked" upon signing Rosewall.He was a cute little fellow with a dink serve, who operated mostly from the baseline.  That great volley of his hadn't been developed yet.  I was afraid that Gorgo would eat him alive and put us out of business the rest of the way.  But like a lot of people I completely underestimated Rosewall.  Before their opening match in Melbourne, Kramer went to Gonzales and asked him to "carry" Rosewall, giving him a better share of the gate to gain his assent.  Gonzales did try to carry out his part of the deal for a few matches, but then called it off, telling Kramer that he was no longer able to play his normal game.  Kramer agreed.  "It was... obvious that Rosewall was not the pushover I had feared.  (In fact, Gonzales only beat him 50–26, and it was always competitive.)"  Six years older than Rosewall, 13 years later, in 1970, Gonzales defeated him in 6–4, 6–4, in the 199th and next-to-last match they ever played—Gonzales was 42 years old at the time and Rosewall was considered to be the co-No.  1 player in the world. <SEP> Paul Annacone (born March 20, 1963) is an American former touring professional tennis player and current tennis coach.  He is the former coach of open-era leader in Grand Slams Roger Federer and former World No. 1 Pete Sampras.  Annacone is currently a coach at ProTennisCoach.com and a commentator at Tennis Channel <SEP> Peter Christian Cain (born 20 November 1958) is an Australian pair skater who currently works as a coach.  With sister Elizabeth Cain, he is the 1976 World Junior bronze medalist and a four-time Australian national champion.  Their highest placement at the World Championships was 12th in 1977.  They competed in the 1980 Winter Olympics, finishing eleventh.  He is the uncle and former coach of Australian national champion Sean Carlow and father of American skater Ashley Cain.  He also coaches Alexei Krasnozhon and Brooklee Han.  He currently works as a coach in the Euless, Texas area. <SEP>  During her career, she won four Grand Slam titles, one of them in women's doubles and three in mixed doubles. Elizabeth Smylie (née Sayers, born 11 April 1963), sometimes known as Liz Smylie, is a retired Australian professional tennis player.  She also won three singles titles and 36 doubles titles.