England's Storm - who used to be attached to Portal golf club in Tarporley, Cheshire - birdied his first two holes, a hot start which propelled him into the lead at steamy Southern Hills.
The Hartlepool golfer, playing in his first US PGA Championship, made an immediate impression with birdies at 10 and 11.
He continued his run to the lead with birdies at 13 and 16 to take a one-shot advantage at four under par.
After a fast start, Woods faded while Daly stayed cool under the pressure of a major and the heat in Oklahoma.
At three under par 67, Daly was the clubhouse leader by one shot over Arron Oberholser, while Woods finished with a one over 71.
Among the early starters, Woods was three under through six holes and tied for the early lead. He had just one more birdie the rest of the way with five bogeys for a disappointing end to his round.
Daly - only in the field because of his victory at Crooked Stick in 1991 - started steadily before improving.
Mark Wilson, Camilo Villegas, 2006 US Open champion Geoff Ogilvy, England's Lee Westwood and Austria's Markus Brier finished the first round on one-under 69.
Retief Goosen was on even-par 70 after a round with two birdies, two bogeys, an eagle and a double-bogey.
Sergio Garcia was as low as three under but settled for a 70 after a bogeys at the eighth and ninth to close his round.
MANCHESTER beat the Fylde League by four points at Ormskirk to win the Lanca-shire Scratch League final in their first season.
The team, made up of players drawn from local clubs - including county captain Bob Bardsley, from Denton - was formed after it was revealed by M.E.N. Sport last year that the region was conspicuous by its absence from the two division set-up.
Team captain Keith Gardner, from Stand, said: "It was a great result. I'm hoping the success will motivate new young players to contact me next year's competition."
He can be reached on 07970 967616.
CHESHIRE County star Dale Marmion has turned professional and joined Chubby Chandler's ISM stable.
And the 21-year-old plus four handicapper, from Delamere Forest, wasted no time getting his career off the ground by playing in this week's EuroPro Tour fixture at De Vere Oulton Hall in Leeds.
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