The 19-year-old signed on loan at Meadow Lane from Liverpool for a month on Thursday and smashed home the opener on his first ever league appearance to gain his new club a valuable three points.
Strike partner Lawrie Dudfield then headed home his first goal of the season on 87 minutes when he converted substitute Austin McCann's pinpoint right-wing cross.
The Magpies gained a home win against Wrexham last weekend, with this win giving them breathing space at the lower reaches of League Two.
Lindfield, the England Under-19 international, showed exactly why Liverpool boss Rafael Benitez has just tied him to a new three year-deal at Anfield when he converted good work from Dudfield on 23 minutes.
It is unfair on County to say that their opener was against the run of the play, but Accrington certainly had more of the first-half possession.
However, the visitors, despite their wretched away record that hasn't seen a win on the road since a 1-0 success at Wrexham on April Bank Holiday Monday, certainly looked more dangerous in and around goal.
Both sides had a plenty of shots from the edge of the respective penalty boxes.
Stanley's Jay Harris volleyed well over on seven minutes, before County's Richard Butcher should have done far better with his left-foot shot from 17 yards.
Then Lindfield demonstrated exactly how to hit the target when he latched onto Dudfield's through ball from the left wing.
He had an Accrington defender for company, but rifled the ball past Ian Dunbavin before he knew what was happening.
Kevin Pilkington then made a smart save from Roscoe D'Sane two minutes after the goal, before Lindfield shot just over with a left footed effort on 42 minutes.
D'Sane forced Kevin Pilkington into a vital save on 58 minutes, before Ian Craney spectacularly volleyed just over a minute later.
The home fans were then incensed when referee Carl Boyeson failed to point to the spot when Paul Mayo looked to have handled in the area just beyond the hour.
Their winger Shaun Whalley then squandered perhaps their best chance when he curled a right-footed shot wide of the left-hand upright just off the angle of the six yard box ten minutes from time.
But it was left for Dudfield to cap the win with his late finish.