Parkgate's fourth consecutive victory moved the Steelmen into the top half of the Toolstation NCEL Division One table for the first time this season on Tuesday night.
A 3-0 victory at third-placed Selby Town
continued their storm up the standings with Haydn Ward and Bruno Holden giving them a two-goal advantage by the interval.
Zak Khalifa grabbed the third with a quarter-of-an-hour remaining to claim their best result of the campaign so far.
That was the only league match in a midweek that otherwise focused on County Cup ties with Bottesford Town
, Grimsby Borough
and Staveley Miners Welfare
all progressing at the expense of league rivals.
Jack Bowskin and Jack Cross netted for Bottesford in a 2-0 win at home to Barton Town
in the Lincolnshire Senior Trophy and the Poachers will now face Borough, who beat Winterton Rangers
6-1, in the semi-finals.
Marc Cooper grabbed a hat-trick whilst a Jack Debnam brace and a strike from Daniel Trott made it a comfortable night for the Wilderness Boys who were also reduced to ten men in the opening period.
Meanwhile, in the quarter-finals of the Sheffield and Hallamshire Senior Cup, Staveley sneaked through 4-3 at home to Rossington Main
after extra time.
Goals from Jahmal Riley and Joe Pugh had put the Premier Division side seemingly through to the last four when Declan Howe struck twice late on to force a further half-hour.
Charlie Oglesby restored Staveley's lead then Pugh's second claimed their fourth before Howe completed his hat-trick in the final seconds of the game.
Meanwhile, Penistone Church
and Athersley Recreation
were knocked out, Penistone going down 4-2 at Evo-Stik League hosts Frickley Athletic whilst the Rec were shocked 2-1 at home by Step 7 side North Gawber Colliery.