The home side were 10-2 ahead at lunch after winning five of the six morning foursomes.
But East Riding battled back, winning four and halving the other in the top five games before taking the second session 15-9.
Selby’s Chris Green and Rob Wardle got their first foursomes win in two attempts to start the ball rolling for Leeds, and wins in matches two and three followed from Howley Hall’s Tom North and Craig Watt (Moor Allerton), and Wike Ridge’s Matty Brighton and Paul Croft (Sand Moor).
The latter pair won two up against Bridlington’s Rich Webster and Hessle’s James Woodhead, the latter suffering his first loss after three wins with the absent Dan Digby.
Ben Borman (Cottingham) and Brough’s Andy Woodhead got the visitors’ only points of the morning, but further Leeds wins followed through the home club’s Sean Ryan and Mick Thorpe, and Scarcroft’s John Rea and Damian Simpson (Waterton Park).
In the afternoon, East Riding’s Nick Jones (Beverley) got his first win after three halves, inflicting Wardle’s first singles setback.
Brough’s Mark Woodall got a half with Green, Hessle’s Lewis Blanchard made it two wins from two, and Driffield’s Ryan Gray got his second victory in four games – he also chalked up a previous half – as the visitors’ momentum swelled.
Webster beat Brighton to add further pressure, but Croft (with his third win out of three) and Moortown’s Matt East responded when their side needed it most.
James Woodhead now has a perfect record from four matches after a 3&2 defeat of Ryan, and Bridlington Links’ Nick Raybould got his first win at his fourth attempt, and in emphatic fashion, beating Thorpe 6&4.
Belvedere’s Matt Raybould also won, but victories for Moortown’s Peter Owen and Simpson ensured Leeds took the points.