On his full Millers debut, Hyam went close with an early chance, with his lob cleared close to the line by Rovers captain Grant Hanley - only to play a more fateful contribution at the other end when he headed Craig Conway’s cross past his own goalkeeper, Lee Camp.
Despite having plenty of possession and camping in the Rovers half for spells, particularly in the second half, the visitors couldn’t find a way through, with Redfearn’s side spurning the chance of moving out of the Championship drop zone.
Redfearn, whose side face a big Yorkshire derby at Huddersfield Town on Tuesday night, said: “To be honest, we were the better side, I have to say. Particularly in the second half.
“I thought we were camped in their half and created enough chances in the first half and we had two or three great chances to go in front.
“The goal was a mishap from a ball in the box which should have been dealt with and Luke put it his own net.
“But we have got to stay upbeat. That’s four performances now which have been good.
“We played well and made them look ordinary at times. But the bottom line is that if you create chances, you have to put them in the back of the net.
“Whether that is going to take bodies coming in during January, I don’t know.
“But the performance was heartening as was the application of the lads. It was an upbeat performance.”