Bradshaw was steady, with four birdies and a bogey, but couldn't consistently hit the shots that would bring him the low numbers he knows were on the course.
The former Shepherd College standout has competed in three PGA Tour events and five Nationwide Tour (now Web.com Tour) events during his professional career.
One of those PGA tournaments was this year at the Tampa Bay Championship, in which he missed the cut.
Where he hasn't faltered much is the Open, which he has won six times - all since 2004. However, his margin of victory has never been more than one shot.
"In my competitive rounds, I haven't broken 70 but like four times in about 20 rounds this year," he said. "I'm right there. You have to get hot at the right time.
"I played sloppy tee to green. I played out of the rough on holes I shouldn't have. Hitting 3-wood off the tee, I hit in the rough. It was sloppy."
Davis, who last won the Open in 1998 at Edgewood Country Club, isn't far behind. The four-time champion had four birdies and two bogeys.
The 57-year-old Hurricane teaching pro had a morning tee time, facing the conditions hours after inclement weather swept through Wood County and dropped rain on the course.
"It played longer, your tee balls just sort of plugged and there was no roll out there," he said. "Into the greens, I felt better because I knew I could throw darts, but the greens were bumpy in the morning. There were a lot of footprints and they were going down, but didn't have time to recover. As it dried out that changed."
Two-time West Virginia Open champion, defending titlist and Sleepy Hollow Golf Club General Manager Jonathan Clark isn't in the field. He is in Sunriver Resort in Oregon with 2008 Open champion and Berry Hills Country Club pro Barry Evans and 2005 Open champ and Edgewood Country Club pro Craig Berner to compete in the PGA Professional National Championship.
In all, there are 5 players in the field who have won a combined 21 Open titles: Bradshaw (6), Westfall (5), Davis (4), Harold Payne (4) and John Ross (2).
The tournament continues today at 8 a.m. for the second round of the 54-hole event. After today's round, the field will be cut to the top 60 scores plus ties.
Contact Assistant Sports Editor Rich Stevens at richstev...@dailymail.com or 304-348-4837.