In-form strike duo Paul Glatzel and Bobby Duncan did the significant damage for Barry Lewtas’ team once again, their goals in the opening quarter-hour proving the difference.
The young Reds, who weathered pressure from the visitors in the second half, will now face Bury away from home in the last eight of a competition they last won in 2007.
Lewtas spoke in the build-up to the tie of Duncan and Glatzel’s tendency to steal the headlines with their goalscoring exploits and the pair wasted no time in doing so again at Swansway Stadium.
Fewer than five minutes had elapsed when the latter opened the scoring.