Defence Secretary Des Browne insisted that British forces in the country were "stretched, but not overstretched".
BBC: Soldiers now face a higher threat in southern Iraq, MPs say
Mr Morrison's appointment, which is for a four-year period, was approved by the UK Government's Scottish Secretary Des Browne.
In a separate Sunday Telegraph article, Defence Secretary Des Browne said concerns the covenant "is in any way broken are wrong".
BBC: Gen Dannatt said the military covenant was "out of kilter"
Meanwhile Mr Cairns' former boss, Scottish Secretary Des Browne, has warned potential Labour rebels there is no alternative to Mr Brown's leadership.
At the time of the High Court ruling, Immigration Minister Des Browne invited people living nearby to co-operate with the new centre's development.
BBC: NEWS | UK | England | Oxfordshire | Asylum protesters in candle vigil
He believes Des Browne has a "natural inclination to be a power behind the throne" and will have to adjust to life in the firing line as immigration minister.
Worries that going after Shia militias in Baghdad might have an impact on security in Basra and the rest of southern Iraq were dealt with by Defence Secretary Des Browne.
He said he had asked Defence Secretary Des Browne for an urgent inquiry into the loss of the contract, following his department's concerns about KBR's float on the US stock exchange.
BBC: Workers at Appledore shipyard already face redundancies
The service, at the Guards Chapel at London's Wellington Barracks, in Birdcage Walk, heard tributes from former defence secretary Des Browne, who also knew the officer, and Col Thorneloe's father, Major John Thorneloe.
Mr Cairns played a prominent role in the Glasgow East by-election which Labour lost to the SNP and was close to Scottish Secretary Des Browne, who, the BBC understands, had tried to talk him out of resigning.
In 2007, he was promoted to become a Minister of State at the department, in effect, looking after the Scottish brief, allowing Des Browne, the Scottish Secretary, to devote time to his other post as Defence Secretary.
On Tuesday, the prime minister, Defence Secretary Des Browne, Veterans Minister Tom Watson and Mr Brown will meet veterans from almost 40 groups and from "as broad a range of experience, service and age as possible", Tony Blair has said.
Earlier this year the defence secretary, Des Browne, suggested that representatives from the weapons labs of all five official nuclear powers meet to see if some of the technologies mastered for weapons building could in future be turned to verification tasks.
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