Batting first, only captain Paul Morris (42) and Joe Paterson (51) managed to reach double figures for the Northwich side in a disappointing performance.
Morris had got the innings off to a flying start by attacking the young opening bowlers, however once he was trapped lbw by the impressive Dom Smith (4-10), the run rate dropped significantly.
Batsmen continued to fall for single figures around number five batsman Paterson, who played freely for his first ever half-century, which included two sixes.
Resilience from Bailey Metzinger (5), James Hanson (3) and Justin Andrews (0*) helped Park reach 122 all out when Paterson was caught and bowled by Elliot Kirkbride-Wright.
Despite positive opening spells with the ball from Metzinger (0-20) and Hanson (1-30), Neston rallied against the off-spin of Tom Woolley, Paterson and Morris to reach their target inside 22 overs.
Capitalising on the short leg-side boundary, Guy Reeve (50*) and Dan Meredith (70*) dispatched several deliveries into the works, much to the dismay of bowler Morris, to secure the victory.
Ashley travel to mid-Cheshire next week, and Winnington will be hoping to get back to winning ways to make their survival in the Cheshire County Cricket League Division 3 absolutely certain.
Winnington Park 122 AO
Neston Win by 9 wickets