'I'm real happy. I haven't ever won a tournament by a large margin,' said Lietzke. 'My goal is to one day do that and I had some chances to do that today.'
Quigley and Eger ended at 9-under-par 207. Bob Gilder and Hubert Green shared fourth place one shot further back at minus-8.
Lietzke played a very steady round to secure his first win of the season and sixth of his career on the Champions Tour.
He rolled in a birdie at the first to get to minus-10 but dropped back to minus-9 with a bogey at the par-3 third. Lietzke recovered that stroke with a birdie at the par-3 eighth.
Around the turn, Lietzke parred the final nine holes, including a two-putt at the last to secure the victory.
'I am surprised 71 won the tournament,' said Lietzke, who earned $350,000 with the win, the biggest payday of his professional career. 'I played a pretty aggressive round even though I didn't make many birdies.'
Quigley, who began his day one shot behind Lietzke, was unable to get any momentum going. He bogeyed the third, before birdieing the fourth and dropped two more shots with bogeys at Nos. 6 and 7. He got one stroke back with a birdie at the ninth to make the turn at plus-1 for his round.
The eight-time winner on tour followed his birdie at the ninth with two more at 10 and 11 but his momentum was halted with a bogey at the par-4 12th. Quigley was able to finish in second with a birdie at the par-3 15th. He had an attempt to force a playoff but was unable to convert a birdie putt at the last from 40 feet.
'I didn't apply any pressure to (Lietzke),' said Quigley, who posted a final-round, 1-under-par 71. 'I was lucky to be in the tournament after 10 holes.'
Eger made the biggest move of the day of the top-5 finishers. He rolled in back-to-back birdies from the fourth and birdied No. 10, 13 and 16 around the turn to give himself a chance. He was unable to birdie either of the final two holes however and ended his round at 5-under 67.
Morris Hatalsky, Bobby Wadkins and 2002 Legends of Golf winner Doug Tewell shared sixth place at 7-under-par 209.