The Aidan O'Brien trained colt was fifth and second at his first two starts and cast off maiden status in this five furlong contest by half a length in a big field of 21.
"Southern Hills is a fast horse. These Gleneagles are fast and brave, those are the two traits his stock seem to have. I think five or six furlongs will be his trip, he's got a lot of speed and I'm not sure he'd get much further," said Aidan O'Brien.
A homebred for Coolmore, Southern Hills is from Group III placed Invincible Spirit mare Remember You, who comes from a female family that has had success in our part of the world producing Group I winners Sword of Osman in New Zealand and Zagalia in Australia.
Southern Hills is the fourth winner and first stakes-winner for Gleneagles, who won the Group I St James's Palace Stakes at Royal Ascot as a three year-old.
He stands at Coolmore in Ireland at a fee of 30,000 euros.
Churchill (pictured below) has a similar profile to Gleneagles in being a fast son of Galileo as a Group I winning 2YO and champion miler at three. He stands at Coolmore Australia this spring for his second season at a fee of $22,000.