Dan Burnell put Slough ahead with his 25th goal of the season, glancing a Stuart Swift free kick past visiting keeper Lee Pearce after an opening 20 minutes which was fairly even.
Slough went close to a second as Ed Smith smashed in a shot which Burnell turned wide, whilst at the other end Jackson needed to make a good save to keep the score at 1-0, as North Greenford threatened to make a mockery of their lowly league position.
Anthony doubled the lead when he ran on to Ed Smith's flick-on and drove the ball under Pearce, giving Slough a two goal half-time lead, which could have been three had Smith not seen his shot blocked on the line. Just before the whistle, Jackson made his best save of the match from Aaron Morgan, who worked his way into the box but failed to find the bottom corner.
The second half saw more chances come and go for Slough, who were always in control, though the visitors remained a threat as Slough failed to kill the game off. Smith had a header tipped over and the impressive Anthony saw a strike blocked after doing all the hard work to dribble into the box, but Slough were hampered by a painful-looking injury to Dom Rhone, who limped off after sustaining a blow to the knee.
Pearce made a super save from Parsons after being teed up by Smith, and Burnell was also frustrated – but Slough were given a reminder the game was far from over as a header from a corner rebounded back off a post.
Slough made the game safe in the final minute as Jake Parsons fired past a defender covering on the goal line, ending North Greenford’s game resistance.
North Greenford Utd Line up
Lee Pearce, Liam Hind, Dan Carter, David Taylor (Lee Clarke), John Sonuga, Danny Bennell (c), Chris Drake, Zak Joseph (Wayne Jackson), Aaron Morgan, Mark Nicholls, Warren Morgan (Anthony O'Connor). Sub not used: Sean Hillier.