"She apparently had a row with neighbours which ended badly and she set fire to the building," he added.
An investigation has been launched into the criminal charge of causing death by arson.
The suspect's neighbour, a 22-year old firefighter who declined to be named, told Le Parisien newspaper he thought the woman had acted in revenge after his girlfriend complained about loud music.
He said he went out and when he returned he ran into his neighbour in the stairwell, which was already beginning to smell of smoke.
"She wished me good luck, telling me that I loved flames," he said.
Other neighbours said they heard the suspect and her neighbour arguing over the woman's music before the fire broke out.
- Telegraph Group Ltd, AP