Chester made it three wins in the space of seven days, coming from behind to win against ten man Welling
A first goal for Oliver McBurnie and a fine brace from John Rooney cancelled out Reece Harris' opener.
Steve Burr's side started the game brightly, with Rooney testing Henly in the home teams' goal before fellow first half goalscorer McBurnie diverted a Ben Heneghan header over the bar from close range.
However, Welling took the lead against the run of play on the quarter of an hour mark when Harris connected with the ball from ten yards out to finish past Jon Worsnop.
This goal gave Welling the momentum to push on for a second, with Rowan Vine denied one on one despite being flagged offside.
But the Blues weren't going to lose their grip on the game on managed to claw their way back level ten minutes before the break when McBurnie headed home a pinpoint Ryan Higgins cross.
Nevertheless, the game changing incident occured moments later when Jake Gallagher was sent off for a cynical foul on McBurnie, with the Wings midfielder also seeing red in the corresponding fixture last season.
Chester made the most of the extra-man advantage in first half stoppage time from the spot when Karl Duguid handled a cross from Craig Mahon.
Rooney had no problems tucking away the penalty, sending the keeper the wrong way.
Moments after the break the lead was further extended by the same player as the midfielder added his seventh of the season with a meticulous 25 yard free kick that gave the keeper no chance.
Chester looked to further extend their advantage as Henly denied Rooney a hat trick, as well as saving from Brad Abbott.
Mahon and Gareth Roberts also tried to further assert the visitors dominance, but each of their chances struck the post.
Ben Heneghan was on defending duties late on when he cleared a Chris Bush header off the line, to ensure the third straight victory leaving the Blues just four points shy of the play-offs.
Welling: Henly; Fyfield, Bush, Purse, Williams; Gallagher, Vine (Corne 55), Healy (St Aimie 74), Duguid, Vose (Carmichael 55); Harris.
Subs not used: Fagan, Zerafa.
Chester: Worsnop; Roberts, Kay (Charnock 64), Heneghan, Higgins; Mahon (Richards 77), Rooney, McConville, Abbott (Thomson 64); McBurnie, Hughes.
Subs not used: Viscosi, Touray.
Scorers: Harris 15; McBurnie 36, Rooney (p) 45, 47.
Referee: Chris Powell.