Albion made the best of starts with a goal after just eight minutes. Justin Richards skinned Rotherham for pace down the right, slipped a pass wide to Cleveland Taylor and Richards continued his run to turn in Taylor’s drive from close range.
And the visitors could have had a second after 20 minutes but Billy Kee’s goal-bound shot from Taylor’s corner was deflected wide.
The home side’s best chance came after 34 minutes when Pringle headed down Schofield’s cross only for Lewis Grabban to sky his shot high over the bar.
Grabban almost made amends four minutes after the re-start but his shot hit the bar and went over.
And his effort sparked a Rotherham revival. Alex Revell’s header was scrambled clear by keeper Ross Atkins Atkins, and the stopper followed that up with two magnificent saves to deny substitutes Marcus Marshall and Gareth Evans.
But some resolute defending by Albion, who pulled everyone back, saw them through.