Palace too had early opportunities. They pushed forwards whenever they could and, when Blackpool defender Ian Evatt sliced away a swirling ball for a corner, Palace were provided with an early chance.
The swift ball came in deep from the set-piece and Paddy McCarthy beat everything but the post from close range.
It was complacency from the home side that allowed the breakthrough goal for the second time in a week.
Pool defenders struggled to play the simple ball after the scare and this error gifted midfielder Paul Ifill the simplest of chances in the box to crash a shot home for the opener.
Pool did all they could to reassert their dominance on the game and zipped the ball around the midfield.
Southern again had a chance on goal as he pulled wide a cross which had stranded Julian Speroni.
Moments later, Gary Taylor-Fletcher whipped in a cross-cum-shot that also troubled the keeper.
On the stroke of half-time, a low stooping header from Shaun-Barker forced a fingertip save that on another day would surely have gone in.
After the break Pool came out with a sense of urgency and three minutes in top-scorer Ben Burgess crashed home an equaliser from 18 yards.
The joy was short-lived as Neil Warnock's men wasted no time retaking the lead and Craig Beattie came bounding into space before finding the net with a cool finish.
With the wind and the crowd behind them, Pool looked to force a way back yet again and a long free-kick into a packed box found Ian Evatt. The big defender made no mistake as he looped a header into the net.
The home side pushed on in search of a winner and Adam Hammill rounded defender Matthew Lawrence to go one-on-one and looked sure to fire in, only to see his effort fly inches wide.