Detectives are asking anyone who recognises a woman shown on hospital CCTV footage to call Surrey Police on 101, quoting the reference RM/13/4481 or call Crimestoppers anonymously on 0800 555 111.
Police want to speak to her in connection with a number of thefts from elderly and vulnerable patients.
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Two members of the public were injured along with two police officers who were in the unmarked vehicle.
Scotland Yard recorded 1,235 Islamophobic attacks in the last 12 months, compared with 811 in 2015.
Officers say the child, aged two, was targeted in the Lewisham Shopping Centre.