Steve Kittrick's men just had too much for their opponents, with a goal in either half sealing the success
Boro included Matty Bloor and Jamie Price in the middle of the midfield, while Cameron Murray switched into the front three alongside Benny Igiehon and Lamin Colley.
There were few scraps for the attackers to feed on in the early stages, the quality was limited as well on a very challenging surface.
The first true break came from the hosts when Lloyd Dean found some space in the Boro box, but dragged his shot wide.
Referee Mr Shacklady was keen to make the going even harder, dishing out a flurry of cards and forcing regular breaks in the play.
Boro rose above this in the 25th minute when an Adam Bolder set-piece was firmly headed home by Jameel Ible to break the deadlock.
Little more emerged from the opening period, apart from a moment of brilliance just before the break from Cameron Murray, who wriggled free, but his stab was held by former Scarborough FC stopper Phil Priestley.
Boro started the second half under the cosh, with Dave Merris having to head over his own bar and Jordan Porter saving well from Rob Doran.
The visitors began to assume control though, and they should have stretched their lead in the 54th minute, but Adam Bolder directed his header just over from close range.
Boro did make it two soon after and it came from more Murray magic. The tricky attacker collecting well in the box, cutting back and then rolling into the bottom corner.
Prescot almost trimmed the lead straight away when Dean was released on Porter, but the Boro keeper saved brilliantly with his foot.
That was Dean's last contribution as he was given a straight red for a horror tackle on Ible after he had miscontrolled the ball.
With the game looking settled, Boro gave welcome minutes to both Craig Nelthorpe and Jake Day in the closing stages.
It was Nelthorpe who fed Igiehon in added time and the big striker powered his way past two men, but his low shot was held by Priestley.
Boro had done their bit though, boosting their account on the road and maintaining their lead at the top of the table.