He recovered well to birdie seven and eight which meant that he turned in level-par 36.
The final-hole dropped shot saw McGeady signing for a level-par 72 which left him on five under.
He carded a level-par 72 but has played much of the early season in America, performing steadily without really threatening.
Woods, looking for a first major win since the 2008 U.S. Open, slipped down the pecking order after a level-par final round.
The 23-year-old, ranked second in the world, carded a level-par round of 72 on Thursday but produced a much improved performance during his second round.
It was a battling display from the 14-time major winner with his arch-rival and fellow American Phil Mickelson earlier shooting a 71 for level-par 144.
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But after two-putting for bogey and a final-round, level-par 72 to finish on 11 under he went back to the 18th for a head-to-head with Holmes.
The Ryder Cup star could manage only a level-par 73 despite a birdie at the final hole to be tied for 34th in a group off 22 players.
Draper, who won the Australian Open mixed doubles title last weekend in between making his professional golf debut at the Victorian Open, could only manage a level-par 72 in qualifying.
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Meanwhile, Sergio Garcia finished two under, Colin Montgomerie was one under, Bernhard Langer and Justin Rose fired level-par 71s and Ian Woosnam, Jose Maria Olazabal and Darren Clarke signed for 73s.
Starting the day six strokes clear, the world No. 2 carded a level-par 72 in his final round to finish ahead of defending champion Brandt Snedeker and Josh Teater, who were both 10-under.
Donald, who was on antibiotics, may have had an excuse in the freezing wet conditions on the West Course, and battled to a level-par 72 in his second round after a sorry 78 on the first day.
His closest chaser, Northern Ireland's Rory McIlroy, looked set to build on his opening 66, but could not capitalize on a promising start and finished with a level-par 72 to be five back going into the weekend.
Overnight leader Seung-Yul Noh of South Korea could not progress with a level par 71 to follow his nine-under par opening round of 62.
"I would have taken level par, " said Fernandez-Castano, who missed nearly six months of action last year due to a back injury.
Simpson joined him on that mark after a level par 71, missing a 22-footer on the last for outright victory.
Australia's Webb closed with a four-under-par 68 to finish on level par.
The Queenslander gave himself the chance to draw level with his second at the 449-yard par four but his birdie putt swung to the right of the cup.
He narrowly missed the eagle putt which would have seen him return a level par 72, but at four-under 140 is still firmly in contention going into the weekend.
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McDowell, who also led after round two, shot a final-round three-over 74 to finish on level par as Havret, bidding to become the first French major winner since Arnaud Massey won the Open in 1907, carded 72.
Perry, 47 hit a four-under 67 to draw level with Axley (67) and Adamonis (66) on 15-under par.
England's Luke Donald signed off with a final-round 67 to take him to level par for the Turnberry event.
In later action, Woods battled to make the weekend on the cut line of level par after a second straight 70 with 23-year-old rookie Luke Guthrie leading the way on nine-under 131 after a superb seven-under 63.
It feels on-par with a lower-mid-level point-and-shoot.
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England's Phil Golding and Paolo Quirici of Switzerland equalled his seven-under par effort to finish the day on level second.
Justin Rose finished with a 70 to end the tournament on level par, while Ian Poulter endured a nightmare final-round 76 to finish last on seven over.
He had earlier cancelled out a Westwood birdie on the par-five eighth which would have pulled the Englishman level.
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Japan's taxation level of about 28% is at par with the United States'--but only at the price of a government debt that totaled a jaw-dropping 170% of GDP last year, nearly three times that of America's.
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