The 63-year-old man thought to be Neville Neville was bailed until May pending further police enquiries.
Mr Neville's two sons Gary and Phil both played football for Manchester United and England while daughter Tracey played netball for England.
He is a former director of Bury Football Club, where wife Jill is still club secretary.
More top news
The former Smiths frontman also said that many actresses who made allegations about disgraced producer Harvey Weinstein were 'disappointed'.
Police carried out a "proactive" operation after receiving reports that other concerts by the band had seen lots of mobile phone thefts.
The child died on her injuries and another 14-year-old girl was injured after the buggy they were travelling in was involved in a car crash.