Tommy Fleetwood is dreaming of becoming the first English golfer to lift the Claret Jug since Nick Faldo in 1992.
Zach Johnson's wins were eight years apart - the Masters in 2007 and the British Open in 2015, and in both instances he came in under the radar.
The 37-year-old American tied Billy Horschel for the low round of the day to win the USPGA Tour tournament by one shot.
Johnson, the 2007 Masters champion, denied the world number one a sixth victory in the unofficial tournament he hosts for the benefit of his charitable foundation.
Tiger Woods birdied the fifth and 11th -- both par-fives -- but he missed a golden opportunity at 18 when he missed a four-foot birdie putt.
Phil Mickelson of the United States won his first British Open at Muirfield on Sunday by three strokes from Henrik Stenson of Sweden.
Kapur will leave Muirfield with his head held high after a dramatic week where he led briefly in the first round before settling for a 68.
Lee Westwood fired a 70 for a three-under total of 210 to lead by two from Tiger Woods, who had a 72, and Hunter Mahan, who had a 68, equalling the best round of the day at the British Open.
Kapur, who qualified for the tournament at the Local Final Qualifying in Dunbar two weeks ago, enjoyed a dream start when he briefly led at Muirfield courtesy of a sensational 30 on the front nine.
The Thai star was a distance away from the early projected cut-off mark, but managed to make the grade right on eight over 150 when players late in the afternoon struggled with the tough scoring conditions at Muirfield.
Jimenez, who broke his leg just seven months ago, leads by one stroke from a star-studded chasing pack of Tiger Woods, Lee Westwood, Dustin Johnson and Henrik Stenson.
Ranked fourth at the start of the day, Shiv Kapur slipped back when he shot four-over in the opening six holes. He traded another two birdies against four bogeys for a three-over-par 145 total.
He finished with an even-par 71 that looked pretty good under the circumstances. This was another day for surviving the perilous, rock-hard setup, and Woods walked to the clubhouse just three shots behind first-round leader Zach Johnson, one of the last guys to tee off.
Tiger Woods looked menacing as he had two birdies in the first five holes, to get to three under, but he failed to capitalise on that with bogeys at the eighth and 11th, his putter letting him down on both occasions. The world number one stayed at one under through 16 holes.
Anticipation for a second day Woods charge was palpable even on the first tee. The mood there was especially tense following the world number one's disastrous opening shot on Thursday, when he fired it deep into the rough and had to declare an unplayable.
Tournament favourite Tiger Woods, handily placed after an opening 69, made a solid start with three pars, followed by a birdie at the third, where he sunk a 12-footer. He then promptly three-putted the par-three fourth to drop back to two over before narrowly missing a monster putt for eagle at the next.
Shiv Kapur held his head high despite three-putting for double bogey on 10 and dropped another shot on 14 when his tee shot found the thick rough in British Open.
Britain's sports secretary Maria Miller is boycotting golf's most prestigious event, while a spokesman for Prime Minister David Cameron said he backed her decision.
