Barnet continued their strong start to the season in the Conference Premier by claiming a 2-0 victory over Bristol Rovers on Tuesday night.
Gateshead were also able to join Barnet on six points as the visitors eased to a 3-0 triumph over Wrexham at the Racecourse Ground.
Torquay United recovered from a defeat to Gateshead on the opening day of the season by securing a comfortable 3-0 win against Welling United.
Macclesfield Town got the better of AFC Telford in a five-goal thriller as Waide Fairhurst's brace helped them claim a 3-2 victory to keep them in touch with the early leaders.
It was a second loss in a week for Southport as Jamie Jackson's late strike confirmed a 3-1 success for Halifax Town, while Alfreton Town were also on the receiving end of another loss as Kidderminster Harriers strolled to a 3-0 win.
Forest Green Rovers were forced to withstand a late spell of pressure from Chester on their way to a 2-1 win at The New Lawn.
Grimsby Town played out a second successive goalless draw as they settled for a point against Nuneaton Town, while Giuseppe Sole came off the bench to score a late equaliser as Woking held Dartford to a 1-1 draw.
Results in full: AFC Telford 2-3 Macclesfield, Altrincham 1-2 Lincoln, Braintree 3-0 Dover, Halifax 3-1 Southport, Forest Green 2-1 Chester, Grimsby 0-0 Nuneaton, Kidderminster 3-0 Alfreton, Torquay 3-0 Welling, Woking 1-1 Dartford, Wrexham 0-3 Gateshead, Barnet 2-0 Bristol Rovers