Hingis goes on to face Colombia's Catalina Castano, who upset sixth seed Li Na of China 6-4 1-6 6-2.
Spain's Gonzalo Fernandez-Castano, Sweden's Peter Hanson and Jose-Filipe Lima of Portugal were alongside the English trio one shot off Cevaer's lead.
"I would have taken level par, " said Fernandez-Castano, who missed nearly six months of action last year due to a back injury.
Allen, Anderson Antunes, Kelly Appleton, Dan Bigman, Morgan Brennan, Jeff Bercovici, Steven Bertoni, Monte Burke, Emily Canal, Meghan Casserly, Ivan Castano, J.
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Spain's Gonzalo Fernandez-Castano, European Tour rookie of the year in 2005, was in second place behind Stenson after a round of 69.
Choi, from Korea, are two shots back from Fernandez-Castano on four-under while five players were tied on three-under, including 1999 British Open champion Paul Lawrie.
Simpson, ranked 17th, won 2-up against Spain's No. 33 Gonzalo Fernandez-Castano.
He has a three shot advantage over Scott Jamieson, Gonzalo Fernandez-Castano and Peter Hanson, who is one of three European Ryder Cup players in the field.
In-form South African Louis Oosthuizen, European number one Robert Karlsson, Spain's Gonzalo Fernandez-Castano and Frenchman Gregory Havret are a shot further back on six-under after playing a handful of holes.
Pettersson carded six birdies in a flawless six-under 66 in South Carolina but 2011 U.S. Open champion Rory McIlroy of Northern Ireland was only one back -- tied with Gary Woodland and Gonzalo Fernandez-Castano of Spain.
Thailand's Thongchai Jaidee fired a six-under par round of 66 to leave him in fourth on nine-under par with England's David Howell (68), Scotland's Richie Ramsay (67) and Gonzalo Fernandez-Castano of Spain (71) one shot further back.
The fightback continued for Thomas Bjorn's side as Spanish pairing Miguel Angel Jimenez and Gonzalo Fernandez-Castano came back from two-down to defeat Ross Fisher and Nick Dougherty on the 17th to boost their hopes heading into the second day.
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