My guess was pretty close to the actual meaning.
It mentions he later was mixing a symphony of Procol Harum at a studio in London with a fiddler who played in Curved Air.
Someone in The Police had been in Curved Air I think. Either Andy Summers or Stewart Copeland. I think Copeland - the American drummer who Sting does not really like but if it had not been for Stewart and the rest of Copeland clan - Sting would be a schoolteacher.