The woman, who was in her fifties, received treatment at the scene, but did not go to hospital after the blaze took hold in the second-floor flat in Morrison Street shortly before 11pm last night.
Meanwhile, a man was treated for smoke inhalation after a fire broke out in the kitchen of a property in Macbeth Moir Road, Musselburgh, shortly after 10pm.
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Hide AdThe fire service said the blaze started after a toolbox was left on a cooker.