A strong, blustery wind was a major factor in the game but that didn't prevent Boro from getting off to a flying start.
With just under three minutes played Ryan Brobbel chased an underhit backpass and forced a block from Everton goalkeeper Mason Springthorpe. Brobbel was quickest to react to the loose ball and intelligently pulled it back for well-placed Fewster and the England U17 international drove home from seven yards.
Boro may have had a penalty a minute later when Jordan Jones was brought down. Referee Paul Davison adjudged the foul to have taken place outside the box and Cameron Park brought a flying save from Springthorpe with a well-struck free-kick.
Brobbel was just wide with an excellent effort from 30 yards before Everton grew into the game, becoming a threat.
Matthew Kennedy peeled away down the left and delivered a cross which Christian Burgess did well to head clear a few minutes before Bryn Morris was just off target with a shot from more than 30 yards.
Lewis Sirrell brought a fine save from Springthorpe with a cracking drive from 25 yards but in between the two Boro efforts Everton equalised.
Christopher Long, who was impressive throughout, set off on a fine run down the right before picking out Matthew Kennedy, who tucked home from close range with 29 minutes played.
Everton, with the wind now in their favour, saw more of the ball in the second half but didn't offer the same direct threat that Boro had done.
But most of the chances did fall their way, the first, after 46 minutes, bringing an excellent one-handed save from Connor Ripley to deny Long.
With five minutes of the second half played, Long crossed from the right, Burgess handled the ball when trying to clear and Apostolos Vellios sent Ripley the wrong way from the spot.
Kennedy saw a low shot from the right-hand edge of the penalty area deflected just wide as the visitors pressed for another.
But it was Boro who went closest to adding to the scoreline in the final minute when Springthorpe was forced into a full-length save away to his right to stop a low shot from Jones.
Team: Ripley; Bennett, Sirrell, Morris (Rhoden 64), Burges (Capt.), Jackson, Brobbel, Jones, Fewster (Kneeshaw 64), Pereira (Waters 64), Park. Subs. Fryer (gk); Okosieme.