Following half chances at both ends, the Seasiders opened the scoring in the 26th minute through Tom Bloxham, who made it three goals in his last three games.
In first half stoppage time, Blackpool’s numbers were reduced, with James Husband being shown a red card for a challenge on the edge of his own box.
Despite being a man down, Ian Evatt’s side almost doubled their lead immediately after the restart, but a header from Fraser Horsfall was placed just wide.
Blackpool were left to rue that miss, as Port Vale swiftly turned the contest around.
A front post header from Stockley initially pulled the home side level, before George Byers poked home from close-range to edge them in front, following some good work out wide from Devante Cole – who put the ball on a plate.
With just over 15 minutes left on the clock, Jaheim Headley put the result beyond any doubt, with the defender slotting past Peacock-Farrell at the front post.
After previously providing an assist, Cole added his own name to the scoresheet in the closing stages, before Ronan Curtis added a fifth to round off the win in stoppage time.
Here’s how the Seasiders performed:
13. SUBS
CJ Hamilton, Andy Lyons, Josh Bowler, Scott Banks Lee Evans (5/10). Photo: Gareth Evans