After a cagey affair in which Blackpool failed to fire it took a slice of luck late in the game to ensure Ince's men maintained their 100 per cent Sky Bet Championship record.
Trying to clear a long throw-in into the danger area from on-loan Liverpool defender Jack Robinson, Wiseman could not sufficiently clear the ball and it bounced across the line off the bar.
While Ince conceded he would have settled for a point in the circumstances, he was delighted his players kept going until the very end.
"I'd pretty much resigned myself to it being a goalless draw to be honest," said the former England international.
"Though I was disappointed because I felt we created the better chances over the 90 minutes.
"You've got to keep your mind sharp though and you never know, a chance is always likely to come at the end like that.
"We started well and I thought that if we had scored early on when we were on top, then the floodgates may have opened.
"But credit to Barnsley. They stuck at it and as the clock ticked past 90 minutes I would have taken a point.
"Jack Robinson is dangerous with those long throw-ins, they can be a real weapon.
"I've seen it a lot in training and I've said to him 'why don't you use it in match situations?'
"He's not just about long throw-ins, though. Jack is a very good player and I know him very well because he came through the Liverpool academy side with [son]Tom.
"He's quick, he's got that quality you need and his decision-making is exceptional.
"We've ground out a result but some days you need to do that.
"The spirit and the togetherness is there in the camp, everyone can see that, and I can't for anything more than six points from our opening two games."