Brodsworth Welfare got off the mark at the second time of asking with a 2-1 win over Clay Cross Town.
Dan Smith and Shaun Mundy were on the scoresheet, either side of Ben Goodwin’s equaliser.
A new-look Brodsworth side were rarely troubled during a goalless first half.
The hosts made all the early running but were denied by a combination of good defending and wayward finishing.
Welfare took a deserved lead on 55 minutes, Smith converting from the spot after Mark Vickerage had been brought down.
Town soon levelled, with one of only two shots on target during the game, as Goodwin found the net after a weaving run.
Mundy settled the game six minutes from time, chipping in from 25 yards out with a speculative effort.
Brodsworth lost 3-1 at Appleby Frodingham in their midweek opener.
Askern, who finished second bottom last season, find themselves among the frontrunners after picking up a second successive win.
The Doncaster club followed up their midweek win over Dinnington with an emphatic 4-0 success over visiting Sherwood Colliery,
Billy Lumsden led the way with a brace, with Mel Cotton and Ben Burbanks also chipping in.
Thorne Colliery, winners at Kinsley in midweek, surrendered a half time lead when going down 3-2 at home to Thoresby Colliery.
The visitors scored three second half goals without reply after Scott Rhodes had put the home side ahead, with Neil Sheppard’s goal merely serving to reduce the deficit.
Harworth Colliery beat Appleby Frodingham by the odd goal in five thanks to strikes by Martin Gee, Danny Rhodes and Kenzie Tomlinson.
Bentley Colliery, who had drawn their two previous games, tasted a 3-1 defeat against Newark Town.
Ryan Nicholson gave them the lead but Town levelled before the break and then scored twice in three minutes in the second half.