Michael Yardy duly nipped out two more, Smith stumped after getting nowhere near the pitch on the charge and AB de Villiers bowled trying a big drive.
Astle, who was stumped after charging down the pitch to off-spinner Harbhajan Singh, said he was disappointed he did not carry New Zealand past the follow-on target of 301.
Shakib also took the wicket of acting skipper Michael Clarke, who was stumped for one after an impetuous shot.
Yuvraj fell to the fourth ball after lunch when he was stumped attempting to drive spinner Ollie Rayner, who then struck again when Mahendra Dhoni was trapped in front trying to work the ball to leg.
After months of investigation, German authorities said they are stumped on who the boy really is.
CNN: German police seek help identifying teen who lived in woods
After months of investigation, German authorities said they were stumped.
But India regained their concentration and removed both players, Patel stumped off the bowling of Harbhajan Singh and Pietersen run out by Sharma after Bopara took a single that was not there to be taken.
The youngster was stumped by James Foster off Tim Phillips and James Hockley was bowled by Danish Kaneria soon after, but this was to be Essex's final success of the day.
Ajmal redeemed himself when he had Lumb stumped in his first over, before Kieswetter was caught at long-on off Abdul Razzaq two overs after driving Mohammad Hafeez for an enormous six which took a chunk of masonry out of the Sir Garfield Sobers pavilion.
England were in with a chance after Katherine Brunt removed the New Zealand openers in successive overs and spinner Laura Marsh had Suzie Bates stumped to reduce them to 35-3.
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.
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