Great Britain prop forward Carvell, 28, signs a three-year contract with Wolves and arrives for an undisclosed fee.
Jamal Fakir trundled over to extend their lead before Garreth Carvell and Shaun Berrigan crashed over for Hull.
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Carvell, a former teammate and close friend of Wolves captain Adrian Morley, is looking forward to linking up with James Lowes' side.
Meanwhile, Warrington prop forward Garreth Carvell is determined to make the most of being called into England's squad as a replacement for his club-mate Morley.
Carvell, who flew out on Sunday evening, is due to join the England squad on Tuesday in Wellington ahead of the opener against New Zealand.
Carvell, 29, was in the initial England train-on squad and played against Cumbria in a warm-up match earlier this month but was not included in coach Steve McNamara's final 24-man touring party.
And the lead changed hands for a third time on 50 minutes when Garreth Carvell grasped the ball from James Roby and held off the Saints cover in a 70-metre race for the line.
England are entitled to replace an injured player before the start of the tournament, which also features Australia and Papua New Guinea, and Warrington prop forward Garreth Carvell will fly out as a direct replacement for Morley.
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England were able to replace Morley with his Warrington team-mate Garreth Carvell because the tournament had not officially begun, but they will not be able to send for a replacement for Shenton and will now operate with a 23-man squad.
Carvell, who had spent the majority of the afternoon being booed by his own fans after announcing earlier in the week that he wished to reverse his decision to sign a new three-year deal with the club, went over from close range and Berrigan's dart from dummy-half gave the Airlie Birds hope.
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