One appliance and crew from Newport Pagnell, one from Broughton and one from West Ashland attended, along with an officer.
A fire in the kitchen of a flat within a four-storey block, was out when they arrived.
The firefighters provided immediate emergency care to one woman, treating her for the affects of breathing in smoke, before passing her into the care of South Central Ambulance Service.
The firefighters removed the source of the fire, a pan, into the open air, and ventilated the flat.