The 10-goal thriller featured solid action, with Fishburne coming away with an 8-2 victory.
The visiting team seemed to settle down faster with some early chances, and on both occasions put shots wide of the target in situations where it would have been easy to score.
Home keeper Riley Howe was confident on the ball and kept most things out, but there was little he could do midway through the first half and Fishburne took the lead when Taylor Humble took a free-kick from the edge of the box. Ta.
Less than 10 minutes later they doubled their advantage from another set-piece when Reuben Mason's flick-on header found the back of the net.
At the other end, Max Thompson made a fine save from George Pearson's on-target shot, and the young stopper touched the ball just enough to deflect it safely.
As both teams headed to the interval, the Whitby side took a comfortable advantage at half-time and would attack for the third time, again through Mason.
The second half saw a strong fightback from the hosts, but Fishburne's free-kick hit the post and just missed the goalmouth, somehow escaping everyone.
Amazaby looked to halve the deficit when a Fishburne defender almost headed a shot into the corner of their own goal, but luck struck on their next try as Pearson grabbed the loose ball and headed home. I released it.
Amazaby's attack forced a corner kick and a Fishburne defender almost headed towards his own goal, but the ball went wide of the far post. The home side's luck improved from the next corner as Pearson grabbed the loose ball and fired home.
But the joy was short-lived as Fishburne immediately responded with an impressive finish from Adam Worrilow at the other end.
Howe was called upon again and made a great stop before Amazhaby hit Pearson again, this time with a cheeky backheel inside six yards.
Fishburne continued to put pressure on the home goal, with fresh legs brought on from the bench with Harry Poole and Freddie Cuthbert adding their names to the scoresheet.
Shortly after, Poole found the back of the net again, with substitute Mark Waterfield further accusing Amazhaby of pushing his body forward to save face.
The hosts had a great chance to grab another consolation in the closing stages, but Nathan Cross' shot went wide over the bar.