The Wimbledon semi-finalist edged through 7-6 (7-5) 6-3 in fiercely hot conditions at Flushing Meadows.
Hunter, a three-times Masters winner and former World Snooker semi-finalist, has always been a crowd favourite.
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Fordham, a four-time semi-finalist, looked down and out when the Dutch superstar raced into a three-set lead.
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Twice a semi-finalist, the Serb will face Estonian qualifier Kaia Kanepi for a place in the last 32.
Lui is a former Miss Hong Kong pageant semi-finalist and holds a Ph.
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Dechy, the world number 13 and semi-finalist in last month's Australian Open, lost 7-6 6-4 to Czech Klara Koukalova.
Dutchman Co Stompe ended five-time semi-finalist Wayne Mardle's hopes with a 4-0 win.
Malisse is a former Wimbledon semi-finalist but has slipped to 95 in the world rankings, having reached a high of 19 in 2002.
Robson, a semi-finalist last year, was pushed hard by her American opponent, with a single break of serve proving enough to win the opening set.
Fifth-seeded Henman had sparkled all week in the hardcourt desert event, cruising past Stefan Koubek, Byron Black and Niclas Lapentti before dismissing semi-finalist Alberto Costa.
The pair will meet in round two after Bogdanovic beat former semi-finalist Hyung-Taik Lee 6-4 6-4, and Baker saw off Alexander Peya 3-6 7-6 (7-5) 6-3.
Commonwealth Games semi-finalist Stephen Simmons is the latest recruit and Nelson is optimistic that the fledgling cruiserweight will turn out to be a valuable addition to his stable.
The Roland Garros semi-finalist, and Monte Carlo finalist, now faces either 16th seed Ivan Ljubicic or Spain's David Ferrer who upset Argentina's Mariano Zabaleta 7-6 (7-3) 6-4.
Ljubicic, meanwhile, will enter his fourth round match against Gael Monfils in high spirits following his shock win over Davydenko, who was a beaten semi-finalist in 2005 and 2007.
That was the year in which he became - as he remains - the youngest ever world ranking tournament semi-finalist and won that event, the Regal Welsh open, when he was 19.
And Argentina's 31st seed David Nalbandian , a former semi-finalist, was a break down in the final set before eventually prevailing 7-6 (7-4) 3-6 6-4 6-7 (6-8) 6-4 against South African Rik de Voest.
George Morgan, who currently has a junior world ranking of 45 - making him second in the British standings behind Wimbledon boys semi-finalist Oliver Golding, who is ranked number 29 - disagrees with this theory.
After slipping to 44 in the rankings, the Dubliner is determined to return to the world's top 16 and now has to overcome two-time world semi-finalist Swail to guarantee his spot in the televised stages.
Also nominated are Leicester's Youngs, another Premiership semi-finalist, who finished third in the Discovery of the Season category last season and won his first England cap against Scotland in March, and fellow scrum-half Simpson of Wasps.
After dominating the first set, two stunning winners - a backhand down the line and crosscourt forehand winner - saw the two-time semi-finalist, whose only Grand Slam title came at the 2005 US Open, break to love to seal it and she opened the second with a confident hold.
In qualifying for the 2010 World Cup in South Africa, the North Koreans have made it through to the final qualifying stage and recently drew with their neighbor South Korea -- a side which was a World Cup semi-finalist in 2002, and unlucky not to make the second round at the 2006 finals in Germany.
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