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
Grant Shapps and Lord Feldman should stand down for their alleged inaction over bullying claims, father of activist who killed himself says.
Scans show there is a 90% chance Tutankhamun's tomb contains a hidden chamber - the last resting place of Queen Nefertiti.
A pregnant woman suffered broken bones and is to undergo surgery after being thrown on to the bonnet of a car in a collision.