Jess Daley (67), Wes Short (68) and Jason Dufner (70) share third place at 11-under-par 205.
Hensby went par-birdie-bogey over his first three holes but he kept his place atop the leaderboard with his play at the fourth. At the par-5 hole, Hensby knocked a 5-iron to 10 feet and rolled home the eagle putt.
He birdied the ninth but had a setback at No. 10. Hensby double bogeyed the hole to lose his spot in first.
'Honestly, I made on bad swing on No. 10 and that led to double bogey,' said Hensby. 'If I don't make double on No. 10, I'm in the lead by a couple of shots or more.'
Hensby collected a pair of birdies on the back-nine par-5s at Midland Country Club to keep the lead. He is in search of his second win this season after titling at the rain-delayed Henrico Country Open.
'I'm looking forward to tomorrow,' said Hensby. 'I'm just happy to be anywhere near the lead. It's hard to tell what it will take tomorrow.'
Skinner tallied a pair of bogeys in his first two holes but regrouped. He birdied the fourth and sixth holes then closed out his front nine with an 18-foot birdie putt.
He sank a 20-footer for eagle at the 12th and added a 10-foot birdie putt at No. 14 to get within one of Hensby's lead.
'I feel good about the round,' said Skinner. 'I just want to get off tomorrow and not be so nervous. When you haven't been in contention before, you tend to doubt yourself.'
Jimmy Walker and Tjaart van der Walt each fired rounds of 8-under-par 64 to join Daniel Chopra (66) and D.J. Brigman (67) in sixth place at 10-under-par 206.
Steve Gangluff (66), Charles Warren (67), John Morse (68), Scott Gump (68), John Restino (70) and Sean Murphy (71) are tied in 10th place at 9-under-par 207.