Cape Town - Southampton extended their unbeaten run in the Premier League to four matches with a 3-1 win over newly-promoted Burnley at St Mary's on Sunday.
Sean Dyche's newcomers were looking to bounce back from their narrow defeat to Arsenal last time out and they threatened after just two minutes when Michael Keane sent a header wide from Johann Berg Gudmundsson's delivery.
But Heaton was soon called into action at the other end as he pulled off a super save to keep out Austin's header from Matt Targett's cross, while he denied Dusan Tadic from range on nine minutes.
Fraser Forster was untroubled by efforts from Vokes and Jeff Hendrick just before the midway mark in the first half, and the keeper set up Tadic on 32 minutes with his long clearance, but Heaton was on hand to stop the Serbian's shot from inside the area.
Austin should perhaps have done better when he was played in by Tadic two minutes later but failed to test Heaton, who was off his line, and the Burnley gloveman made another couple of saves to deny Redmond in the closing stages of the first half.
But the Saints finally broke the deadlock early in the second half as Austin bundled the ball home from close range following a corner on 52 minutes.
Tadic threatened to double their lead on the hour mark with a strike from inside the box that was saved by Heaton, who was beaten again moments later from a corner as Redmond fired into the bottom right corner of the net.
Austin then made the game safe six minutes later when he converted from 12 yards out after Sam McQueen had been brought down inside the penalty area by Gudmundsson.
Heaton was tested again on 69 minutes by Oriol Romeu, whose shot from distance was stopped by the keeper, but the visitors managed to pull one back just three minutes later after they were awarded a spot-kick following a foul on Ben Mee by Tadic, with Vokes beating Forster from 12 yards out.
Steven Davis went close to a fourth for the south coast club with a shot from inside the box that flew just wide of the target on 85 minutes and James Ward-Prowse drew a save out of Heaton with his long-range strike at the death.