'This is an unbelievable feeling,' said Sheehan, who won $85,500 for the victory. 'Walking up the last hole and knowing all I had to do was three-putt to win was a great feeling.'
Sheehan's wire-to-wire victory was the first on tour since Brett Quigley captured the 2001 Arkansas Classic.
Sheehan looked in command until a missed three-footer for bogey at the ninth and a double-bogey at 10 trimmed his lead to one over Wilson and Meeks. Sheehan two-putted from 20 feet at the par-5 11th to extend his lead.
A five-foot birdie putt at the 17th sealed the victory for the 32-year-old from Rhode Island.
'That was a pretty bad hole on No. 10, so to bounce back with a birdie on the next hole was huge,' said Sheehan, who jumped to No. 5 on the Buy.Com Tour money list with $158,573. 'We have a lot of tournaments to play, but this puts me one step closer to the PGA Tour. Last year $161,000 was top 15, so this puts me very close to reaching my goal.'
For both Wilson and Meeks, there were not enough holes left to cut into the lead. After the Sheehan birdie at 17, Wilson and Meeks needed a major mistake from Sheehan at 18.
'I just didn't give myself enough birdie chances down the stretch,' said Wilson, who shot a final-round 67. 'I looked up with three holes left and was only one or two back and realized I had a chance to win but you can't control what the other guy is going to do.'
'I gave myself a chance there at the end but it wasn't enough,' said Meeks, whose 4-under 68 allowed him to join Wilson at 17-under-par. 'But give Patrick credit, it is tougher to win when you have been playing with the lead all week like he did.'
Final results from the Ramey Price Cutter Charity Championship