Goals from Jon Shaw and Andy Cook saw Barrow continue their fine run of Conference form.
The visitors were reduced to ten men in the 38th minute when Gavon Heeroo was shown a second yellow card for a foul from behind on Neil Wainwright.
This though made them hard to break down and it wasnt until fourteen minutes from time that SHAW capitalised on hesitation between defender and keeper to nip in and drive into the far corner.
Shaw turned provider ten minutes later allowing debutant substitute, Andy COOK, to toe poke past Cronin for the ball to dribble over the line.