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The woman was found to be more than five times the legal limit, South Yorkshire Police say.
Thomas Birley was seen standing on a burning bin outside a hotel housing asylum seekers.
An asylum seeker says he feared for his life when masked rioters broke into his accommodation during violent unrest in Rotherham.
The PM told those involved in the unrest: "You will regret taking part in this".
Protesters threw objects and set a bin on fire outside a hotel in Rotherham