The young sparrowhawk - nicknamed Jack - had spent three days among pipes and beams of the ceiling Monkton Stadium.
Staff dragged soft toys along the floor to imitate live prey, then brought in a Harris hawk to frighten it outside.
Eventually paper was hung from the ceiling which encouraged it to fly lower down, and it was caught in a net.
The bird then flew off into nearby woodland unharmed.

Bentaleb played only 13 times for Spurs last season because of injuries.
The 21-year-old midfielder has not trained with the Tottenham first-team since July after being told he was not in manager Mauricio Pochettino's plans.
"He is 100% fit but we must give him time to integrate into the team," Schalke director Christian Heidel said.
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With more than 3,000 listed places of worship in Wales, the Welsh government said many were under threat.
New activities will be encouraged to save the buildings, either as religious centres or with an alternative purpose.
Deputy Culture Minister Ken Skates, visiting St Giles parish church in Wrexham, said it was "always a shame" to see "cherished buildings neglected".
The Grade I listed church hosts community groups and religious services, and received Welsh government funding to restore its tower.

The 26-year-old, who joined the Hammers from Pachuca for £12m in 2014, had held talks with Swansea on Wednesday.
But he will now link up with the Toffees on his return from international duty with Ecuador.
Valencia had made six appearances this season but was facing competition from new Hammers signing Simone Zaza.
Meanwhile, Everton have signed Sheffield United forward Dominic Calvert-Lewin for an undisclosed fee on a four-year deal.
The 19-year-old made 11 league appearances for the Blades, failing to score.
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Downing, who had only been offered a one-year deal by the Saddlers, made 183 appearances for the club following his release by West Brom in August 2012.
The 24-year-old centre-back has also previously been out on loan at Hereford United, Shrewsbury Town and Barnet.
"I've always liked Paul as a player," said Dons boss Karl Robinson.
The transfer will officially be completed once Downing's existing Walsall deal expires on Thursday.
Downing was one of three out-of-contract mainstays from last season's beaten League One play-off semi-finalists to leave the club, having turned down their respective offers.
Jason Demetriou signed last week for another League One side Southend, while Romaine Sawyers, remains linked with former Saddlers boss Dean Smith at Championship side Brentford.
Find all the latest football transfers on our dedicated page.
Soft toys, paper and a hawk were used in a bid to lure a bird of prey which had taken up temporary residence in a South Tyneside sports hall.
[NEXT_CONCEPT]
Algeria international Nabil Bentaleb has joined German side Schalke 04 on a season-long loan from English Premier League side Tottenham.
[NEXT_CONCEPT]
An action plan has been launched to save historic religious buildings from neglect as their congregations dwindle.
[NEXT_CONCEPT]
Everton have signed West Ham striker Enner Valencia on a season-long loan, with the option of a permanent £14.5m move next summer.
[NEXT_CONCEPT]
MK Dons have signed defender Paul Downing on a two-year deal after he rejected a new contract offer from League One rivals Walsall.