The pair hold a one-stroke lead over compatriots Jim Furyk, Scott Verplank and D.
"I want to stay focused on going out and playing another good round, " said Furyk.
McDowell stumbled early in the final round but Furyk held the lead for most of day.
Furyk, the 2003 winner, buried his second shot in a bunker dashing his chances.
Furyk, who had held the lead from Friday afternoon, was unable to withstand Simpson's great play.
But still on the last hole, both McDowell and Furyk were just one shot behind Simpson.
Among the five who posted 69s were two former Open champions, Jim Furyk and Ernie Els.
World number two Phil Mickelson will play with Jim Furyk and Adam Scott, ranked three and four.
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Former U.S. Open champions Jim Furyk and Graeme McDowell were tied for the lead coming into play Sunday.
Jim Furyk was ingloriously disqualified from the first playoff event for oversleeping and missing his pro-am tee time.
Last Sunday, Immelman lost the Wachovia Championship in a play-off to Jim Furyk after three-putting the final green.
Also capable of winning are the savvy old-timers Steve Stricker and Jim Furyk.
Furyk edged to eight under as Canada's Stephen Ames (66) and Australian Adam Scott (67) climbed to seven under.
Furyk began the day with a one-stroke lead over Carl Paulson and promptly bagged three birdies in an outward 33.
Jim Furyk, never known for flashy play, had only two bogeys through two rounds, until he double-bogeyed the 15th hole.
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Woods was tied with Furyk and David Toms for the halfway lead going into play Saturday at one under par.
He tied for third with 2003 U.S. Open champion Jim Furyk and another American, Charley Hoffman -- who both shot 69.
That both Jim Furyk and Phil Mickelson lost their matches after being up 1 hole with 2 to play is incredibly shocking.
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Ogilvy, playing with Woods, racked up nine birdies through 16 and needed another at the short 17th to tie Furyk for the lead.
Both Furyk and Donald were heading straight from Atlanta to the UK ahead of next week's Ryder Cup at Celtic Manor in Wales.
Some players love it, but many who have experimented with the style Phil Mickelson and Jim Furyk come to mind returned soon enough to traditional putting.
Unfortunately, Furyk made bogey on his last 2 holes to lose his point while Sergio Garcia parred in to take the match and the point.
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Furyk struggled in the early stages of the 36-hole event before taking control in the middle of his round, making six birdies and one bogey.
What happens with a player like Jim Furyk or Colin Montgomerie?
America's Jim Furyk, Ricky Fowler and Steve Stricker are currently tied for ninth at two-under par alongside England's Lee Westwood and two-time champion, Germany's Bernhard Langer.
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Jim Furyk overslept and missed his pro-am tee time at last year's Barclays and was disqualified from the actual tournament (the PGA Tour has since modified the rule).
Taking his lead from the likes of Steve Stricker, Jim Furyk and David Toms, Snedeker honed his game to ensure distance wasn't preventing him challenging for big titles.
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Then came successive bogeys at 11 and 12 to give Furyk his three-shot cushion, which had gone by the time the American missed a short putt on the 17th.
Donald, Furyk (69), Garrigus (64) and Bae (68) finished the tournament on 13 under, one stroke clear of American trio Scott Piercy (62), Jeff Overton (66) and Ken Duke (68).
Graeme McDowell edged a close game with Padraig Harrington, Jim Furyk defeated Ryan Moore while 2012 Masters champion Bubba Watson and 2012 U.S. Open winner Webb Simpson moved into round two.
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