A brace from Dean Nuttall and finishes from Rob Baker and substitute James McLoughlin ensured that the away side took maximum points, despite a consolation goal from Darren Sellars.
Their second success was secured thanks to a goal from Rob McDermid and two from substitute Joseph Smyth in the last ten minutes.
Gary Collier and Chris Coxon got on the scoresheet and, despite the away side halving the deficit, they could not grab an equaliser.
Dringhouses earned their first point of the season with a 2-2 draw at Terrington Glory.
Ollie Varey gave the home side the lead but Robin Jefferson levelled before half-time.
Glory regained the lead through a Jonny Brown strike before Wilson Briggs' equaliser just before the final whistle.
Huntington Rovers also gained their first points with a 2-2 draw at Harrison Signs.
Neil Fryirs strike gave the hosts the lead before James Edmond equaliser for Rovers.
Fryirs' second regained the lead before a late Pete Laidlaw goal earned a share of the spoils.
Poppleton's match with Church Fenton White Horse was cancelled due to the hosts being unable to field a team.