Thomas held on for a one-shot victory over Casey Alexander in the 51st Metropolitan Golf Association Public Links championship.
She gained a one-shot victory over Lisolette Neumann of Sweden, the United States Open champion, who shot 66 today.
Mickelson flopped a chip from the deep grass some 50 feet from the cup for a tap-in birdie that gave him a one-shot victory.
At Muirfield, Faldo watched from the clubhouse as Paul Azinger bogeyed the final two holes to give him a one-shot victory.
Simpson's one-shot victory over Tom Watson was the fourth of his career.
He was able to get it up and down for par and secure his one-shot victory over Fred Couples.
His two-putt par preserved a one-shot victory over Jose Maria Olazabal of Spain.
Mickelson, who already has matched one of Jack Nicklaus's amateur marks, had a closing 71 for a total of 16-under-par 272 and a one-shot victory.
It gave the 27-year-old Floridian a one-shot victory over Hal Sutton, whose 15-foot shot a few minutes later rolled over the left edge of the cup.
And on the next hole, a dramatic 15-foot birdie putt gave Mallon a one-shot victory.