The composition of the Iraq inquiry

The Guardian reports that the members of the Iraq inquiry are:

"Sir John Chilcott, the former permanent secretary at the Northern Ireland Office, who was a member of the Butler inquiry into intelligence on weapons of mass destruction in Iraq. Other inquiry members are: Sir Roderic Lyne, the foreign affairs private secretary to John Major in 2003; Sir Martin Gilbert, a historian much favoured by Brown; and Sir Lawrence Freedman, who was credited with writing large parts of Tony Blair's speech in Chicago in 1999 making the case for liberal military intervention, and has described the Bush administration's conduct of the war as "dysfunctional". The final member is the crossbench peer and chair of the judicial appointments commission, Baroness Usha Prashar."

So that all looks fair and straightforward. Maybe an inquiry is needed into how Gordon Brown selected the members of the Iraq inquiry.