Barnes is second on the special money list of six tournaments - The Players Championship, Memorial, St. Jude Classic, U.S. Open, Travelers Championship and AT&T National. He opened with a 70.
Paul Goydos, the leader of that money list, opened with a 73 and was in danger of missing the cut. Also in the chase are John Mallinger (70), Matt Bettencourt (70) and Kevin Na (71).
Molder is $20,000 behind Barnes, and it helped that he opened with a 64.
The tour had the standings posted in the locker room at Congressional, although Molder didn't need to see it.
"I did check late Sunday afternoon," he said with a smile. "That would be a tremendous honor to play in the Open Championship, which I never have. I love the golf over there. It would be a great challenge and a great honor to play."
Molder played on the Walker Cup team that competed in Nairn in Scotland, and on a Palmer Cup team at St. Andrews. Despite being in a tie for second, he realized there was a long way to go until Sunday.
"I'm going to try to ignore that as much as I can and just play golf," he said. "It's hard to."
SPECIAL VISIT: Jim Furyk found perspective Wednesday night going to a barbecue at the Walter Reed Hospital to visit wounded soldiers, some of whom have lost limbs.
Just like last year, he thought he could help cheer them up. And just like last year, Furyk came away inspired.
"It was just good to meet a lot of wonderful people that have gone and risked their lives for our country," he said. "Some of them have gone through some very tough experiences, and the hospital is all about getting them back on track. It's amazing, their outlooks and their positive attitudes.