It broke out in Glenrosa Street just before 4am.
Part of a flat on the ground floor of a converted mid-terraced house was damaged by fire.
One woman left the building and firefighters rescued another woman via an internal staircase.
One woman was taken to hospital.
A London Fire Brigade spokesperson said: “Firefighters recommend that you have a look at our online Home Fire Safety Checker to make sure there are no hidden hazards in your home.
“The online tool will ask you a series of questions that will help us work out the level of risk in your home, or the home of someone you care for. It only takes a few minutes to get tailored advice to keep yourself and loved ones safe from fire.”
