Town paid a hefty price for dropping their guard from two set-plays, with the beneficiary on each occasion being Michal Helik.
A 2-1 reverse saw the Terriers suffer their eighth defeat on their last 10 visits to Barnsley as their Boxing Day away-day misery continued.
All told, you have to go back to 2003 for the club’s last win on the road on December 26, a 1-0 success at Darlington.
Reflecting on a bitter last-gasp defeat for Town, who have not picked up three points on the road since a 3-0 victory at Millwall on October 31, Schofield said: “It is tough to come to a place like Barnsley and lose in the last minute of the game and the lads are all devastated. We did enough to get a point.
“It was a really scrappy and cagey affair and I don’t think any team deserved to win the game.
“I think that we deserved a point and the lads are disappointed with the manner of both goals we conceded from set-plays.
“We know we can improve that and on another day, we would pick up a 1-0 win and it would be a totally different game.
“The conditions were horrendous with the wind and the pitch was not the best or nicest. It did not suit our game, but we have to find a way to play when that happens. I think we did that better in the second half.
“Their first goal was from a corner in the second phase and it was headed back across goal and Naby (Sarr) was unfortunate that he did not clear it off the line and with the second one, we just switched off and unfortunately for us, it fell to their free man and he smashed it home.
“No players will be shying away from what happened and we’ll put it right for Tuesday.”
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