Ozzy Zanzala got Barrow off to a perfect start before Tyler Burey drew Pools level in the first half. Josh Gordon then saw the hosts retake the lead in the second half before debutant Will Goodwin made it 2-2.
Barrow then scored their crucial third goal with substitute Dimitri Sea finding the net to secure the three points.
Scroll down and click through the pages to reveal our player ratings from the game…
9. Gavan Holohan - 6
Wasted a good early chance by opting to shoot instead of picking out Ferguson but found himself in good areas over the course of the afternoon but lacked the final ball. Photo: Mark Fletcher
10. Tyler Burey - 6
Continued his positive start to life at Pools with a well taken header. Faded in the second half. Booked. Photo: Mark Fletcher
11. Will Goodwin - 7
Showed some neat touches in the final third and took the once chance that came his way well. Photo: HUFC
12. Luke Molyneux - 5
On for Liddle 72: Very quiet following his introduction. Photo: Mark Fletcher