Lumb scored an unbeaten 111 as the home side chipped away at their opponents' first innings total of 470, but with the game in its final day Durham were still well placed at lunch, with Nottinghamshire on 222 for six in their second innings, 71 runs ahead but with just four wickets remaining.
All-rounder Adil Rashid hit a quickfire unbeaten 36 in as many balls as Yorkshire declared their first innings on 677 for seven against Derbyshire.
It left Yorkshire in a dominant position, 202 runs ahead, as they tried to force a result on the final day.
They then quickly struck when England paceman Tim Bresnan trapped Billy Godleman lbw for nine, with Liam Plunkett weighing in with two wickets to leave Derbyshire on 47 for three and trailing by 155 runs.
Warwickshire's Jonathan Trott missed out on a first-innings century when he was caught behind for 96 by England team-mate and Sussex wicketkeeper Matt Prior on the second day of their match at Hove.
Warwickshire, however, progressed to 369 for seven to put themselves in control.
It was slow going at Lord's where Surrey won the toss and elected to bat on the first morning against Middlesex but saw opener Graeme Smith dismissed without scoring in the seventh over before advancing to 45 for one from 30 overs at lunch, with Rory Burns unbeaten on 32.
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