Irvine’s double helped to overturn a 1-0 deficit, with Fraizer Campbell also on the scoresheet in a 3-2 win at the AESSEAL New York Stadium.
“From a personal point of view it was extremely pleasing to get my first goals of the season, and it was my first ever double, too!” said Irvine.
“However, to get the win – and it was a very important win, not just for the three league points but for the feeling around the club as well – was huge for us tonight.
“It was a really tough game and there are a few fat lips, knocks and scrapes around in the changing room. Rotherham made it really difficult for us and they threw everything at us in that last 20 minutes. We had to fight and scrap to see it through.
“We did show our quality, though, and we maybe could have had two or three more goals than we actually scored.
“This was a different type of challenge for us. They really get the ball into the box and it’s different to what we’ve maybe already faced this season where teams like to knock the ball around and keep it for long periods.
“It was very pleasing to come away with the three points. We felt as though we owed the fans something because we weren’t good enough last Saturday. Our fans have been outstanding and they were again tonight. Hopefully we gave a performance they can be proud of this time.
“We have to maintain that level of performance now. It’s difficult to go again every three days, but that is part of being a Championship footballer and we’ll be ready to go again on Saturday.”