Jamie Walker scored twice for the Robins, taking his tally for the season to five. Ross Barrows scored their second of the afternoon, and there were also goals in the second half for Jordan Hallam, Declan Eratt-Thomas and Nathan Tyson as the Reds were put to the sword at the New Manor Ground.
Radcliffe also made it three wins from three as two quickfire goals in the space of nine second half minutes saw them past fellow Greater Manchester-based side Hyde United.
Scott Duxbury broke the deadlock six minutes after half-time before Josh Hancock made sure of the points from the penalty spot on the hour mark.
Macclesfield and Whitby Town's winning start to 2023/24 continued as they were victorious over Gainsborough Trinity and Marine respectively.
A first half Alex Curran double helped the Silkmen to victory in front of over 3,300 supporters on home soil, while Whitby were impressive winners at one of the early-season promotion favourites, as a red-hot first half helped them record a 3-1 victory at the Marine Travel Arena.
Elsewhere, Ashton United climbed to fifth after a 3-1 win at home to Marske United - who are now the only Northern Premier League side yet to register a point in 2023/24.
Marcus Cusani, Brad Abbott and Alex Byrne all netted their first goal for the Robins, before Nathan Thomas grabbed a late consolation for the visitors.
There was late drama at Craik Park as Morpeth Town mounted a late fightback against Matlock Town to continue their unbeaten start to the season.
Trailing 3-1 late in the contest, Liam Noble scored in the 88th minute to reduce the arrears before Danny Barlow remarkably scored his second goal of the afternoon in the sixth minute of stoppage time to make it 3-3.
At the Sir Tom Finney Stadium, Bamber Bridge came from behind to deny Bradford Park Avenue their first win of the season, while Lancaster City played out a goalless draw away at Worksop Town.
There was also no separating Atherton Collieres and Warrington Rylands, who exchanged goals in the first half at the Skuna Stadium.
Meanwhile, goals from Tom Denton and Gabriel Johnson were enough to see Guiseley edge out Basford United 2-1 and record their first win of the season.
Finally, Stafford Rangers collected their first points of the season, edging a five-goal thriller against FC United of Manchester.
The deadlock was broken by an own-goal from Luke Griffiths - who also scored at the right end for FC United of Manchester later on in the first half - before goals from Niah Payne and Nathan Blissett proved enough for all three points.
Results - Saturday 19 August
Ashton United 3-1 Marske United
Atherton Collieries 1-1 Warrington Rylands
Bamber Bridge 1-1 Bradford Park Avenue
Guiseley 2-1 Basford United
Ilkeston Town 6-1 Workington AFC
Macclesfield 3-0 Gainsborough Trinity
Marine 1-3 Whitby Town
Morpeth Town 3-3 Matlock Town
Radcliffe 2-0 Hyde United
Stafford Rangers 3-2 FC United of Manchester
Worksop Town 0-0 Lancaster City
Photo credit: Macclesfield
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