Berkshire 399 (R Morris 116) and 170-3 (Hussain 61, Woods 55)
Shropshire 287 (Kervezee 166)
Berkshire took a firm grip on the second day, having been spurred on by taking two wickets in the opening 10 minutes.
Dan Lincoln ran out Shropshire skipper Steve Leach (26) and Euan Woods bowled Will Parton (20) without any addition to their overnight score, making it 55-3.
However, Alexei Kervezee then settled into an innings that was to prove invaluable to the visitors.
While wickets fell quite regularly at the other end, the former Worcestershire batsman produced a faultless innings, proving a sturdy backbone for Shropshire. He occupied the crease for 214 minutes, cracking 166 off 178 balls with a 6 and 20 4s.
He was eventually ninth-man out, caught by Joe Thomas off Ali Raja, with the Shropshire innings ending soon afterwards on 287.
Woods took 3-66 off 19 overs, Peploe 3-88 (35.1), Ali Raja 2-58 (18) and Andy Rishton 1-32 (6).
Debutant Toby Greatwood was recalled to the attack, but with his second ball, he took a nasty blow on the top of his right foot as the ball was hammered back in his direction and the Wargrave youngster was unable to continue.
Berkshire, with a healthy first-innings lead of 112, set about improving their advantage with the aim of trying to take the game out of their visitors' reach. Both openers fell to lbw decisions, Rishton for 17 (46-1) and Hussain for 61 (104-2) but the overall lead was by now well past 200.
When he was on 55, Woods hammered a fierce drive to just short of mid-wicket, where Kervezee took a quite outstanding one-handed catch, giving Sam Whitney his second wicket of the game, leaving the hosts 153-3.
By the close of play, Berkshire had moved on to 170-3 from 45 overs, a very useful lead of 282, going into the third and final day at Finchampstead.
Updated 13:00 - 2 Jan 2019 by Dave Wright