Two shots behind going to the 18th, Chappell stuffed his approach to tap-in range for birdie.
"The birdie on the last definitely will make my evening a lot better, " he said.
Almost as quickly, their one-stroke deficit was back to two after Weekley's birdie at No. 13.
Weekley had just made an 18-foot birdie at No. 9 to get to 12 under.
New Zealand's Campbell was frustrated at not converting enough birdie chances despite his four-under 68.
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It looked like a two shot swing, a would-be birdie that turned into a bogey.
But the penalty rattled him, and he missed an easy birdie putt on 17.
His par-saving putt on the fourth hole elicited roars, his birdie putt on 13 yelps.
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After bogeying the opening hole, Guan barely missed a birdie putt on the second.
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His approach got the finishing touch it deserved to record Saturday's first birdie here.
Woods uncharacteristically also missed other birdie chances but insisted his short game was in order.
Wier had a steady if unspectacular round with 16 pars and just one birdie.
Molinari shot a final-round 72, securing a playoff with a birdie at the 72nd hole.
Then she barely missed a 25-foot birdie putt on No. 14 and started laughing.
Billy Horschel was three shots out of the lead with a birdie on the third hole.
Thompson accepted his bogeys and finished with a two-putt birdie on the 18th for a 70.
Rumford, who has three European Tour titles to his name, had a flawless seven-birdie round.
Casey thought his missed birdie putt on the 18th had ended his victory chances.
But a birdie at the final hole ensured the 32-year-old finished two clear on 12-under par.
He recovered well to birdie seven and eight which meant that he turned in level-par 36.
"Starting birdie-birdie was a good thing and got me back on the horse, " he said.
Campbell drew inspiration from his US Open triumph to birdie four of the last five holes.
He did miss a four-foot birdie opportunity at the 17th before claiming a shot at the last.
Take those away, and I missed two short birdie putts, and it was actually a decent score.
Pressel withstood the pressure at the end of the round with a birdie and seven closing pars.
The par-five 16th, at 670 yards the longest hole in Open history, is not a birdie hole.
Howell and Quigley both had birdie chances on the last but missed from 25 and 24ft respectively.
But he stuck with it and was rewarded with a second-round 59 which included a birdie-eagle finish.
Donald missed a five-foot birdie putt and Howell three-putted from 20ft after lining up an eagle opportunity.
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