That left them with a narrow lead of 54 after two more James Tredwell wickets.
However, Tredwell and Swann ensured there was one final twist in England's latest drama.
Kent supporters, meanwhile, were hoping James Tredwell might have been selected ahead of either Panesar or Rashid.
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The plan came off as Tredwell trapped Gayle in front of his stumps with his fifth ball.
The final pair added a useful 40 before Gough swung off-spinner James Tredwell to Rob Key at square-leg.
Kent, already without England Twenty20 spinner James Tredwell, have now lost James Hockley because of a hamstring injury.
However, after an entertaining 85 off just 71 balls, he fell to Tredwell.
James Tredwell (17) was the next highest scorer in a total of 199.
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Tredwell toured New Zealand with England's one-day squad in 2008, but did not play in any of the games.
Tredwell and Graeme Swann, who took 3-94, bowled 59 overs between them, and several batsmen fell after good starts.
First he had James Tredwell caught by Gerard Brophy before bowling Matt Coles.
Laxmi Shukla top-scored for East Zone with 60 before he became one of four victims for the spinner James Tredwell.
The onslaught prompted a rethink from Strauss, who threw the ball to off-spinner Tredwell to join Swann in the attack.
And, after being smacked around the park at first as England leaked runs, Tredwell reeled in Tamim and Shakib Al Hasan.
That never looked likely as Jones had James Tredwell caught behind with the score on 12 and Phillips pinned Matthew Walker leg-before.
Tredwell was called up as cover after Swann suffered a side strain.
Captain Matthew Fleming and off-spinner James Tredwell profited with two wickets each.
Yorkshire almost lost the first wicket of their second innings when Adam Lyth edged Simon Cook but Tredwell could not hold the catch.
Instead, Tredwell joins Shahzad among 16 players named in the performance squad, a back-up group who will also be in Australia during the winter.
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In the first Test, on as a substitute, Tredwell took a stunning catch at short mid-wicket off the only delivery he was on the pitch for.
Spinner James Tredwell was called upon for his first bowl of the innings and his third delivery had Ashraf nicking a catch to wicketkeeper Geraint Jones.
He meted out the same treatment to Masters shortly after but paid for his over-exuberance when, charging down the wicket at Tredwell, he was stumped by Nixon.
England's spinners did much of the damage to the West Indies batting line-up, Graeme Swann taking 3-36 while man-of-the-match James Tredwell took 4-48, including the key wicket of Russell.
Tredwell took 14 wickets in 14 one-day games for Kent last season and set new career-best figures of 6-27 in their Friends Provident Trophy win over Middlesex in May.
But he fell for 85 from 71 balls to debutant James Tredwell, and when the spinner ousted Shakib Al Hasan in the first over after tea it was 254-6.
Ostler was fortunate to see James Hockley spill a sharp diving chance off Masters, and rubbed salt into Kent wounds with three booming fours off one James Tredwell over.
Northeast then added 47 for the sixth wicket with James Tredwell before, just 13 short of a deserved century, being caught behind, tempted by a fuller, wider ball from Kruger.
And his spin team-mate Tredwell, selected ahead of Michael Carberry as England went with five bowlers, was pleased to make his presence felt on the tour - for the second time.
Tredwell was fortunate to have the more circumspect Junaid Siddique on strike but scurried through his deliveries admirably, displaying great accuracy to concede just two singles from his opening three overs.
This did not deter Adshead, who moved on from his overnight 86 to record his second century of the season before he and Lewis both fell to the bowling of James Tredwell (3-100).
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