Met Police say they arrested a 40-year-old woman after finding a car with signs of damage in Woolwich, southeast London, at 2am.
TV personality and former glamour model Katie Price has been arrested on suspicion of drink-driving.
Police say a woman arrested in the early hours remains at a station in south London.
A Metropolitan Police spokesman said: "At approximately 2am, British Transport Police officers came across a car showing signs of damage stationary at the roadside in Shooters Hill Road, Woolwich.
"A 40-year-old woman who was inside the car was arrested on suspicion of drink-driving. She was taken to a south London police station where she remains.
"Officers from the Met investigate. Inquiries continue."
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The spokesman said a breath test had been administered but that the force would not discuss the results.
Price, who has five children, split from her third husband, Kieran Hayler, earlier this year.