New York Police Department, Associated Press
This Saturday, Dec. 17, 2011 surveillance photo provided by the New York Police Department shows a suspect wanted in connection with a homicide, in the Brooklyn borough of New York. A woman burned to death in the elevator of her Brooklyn apartment building Saturday afternoon after a man ambushed her, sprayed her with liquid and set her afire with a Molotov cocktail, police said.

NEW YORK — Police say they are questioning a man in connection with the death of a New York City woman set on fire in the elevator of her apartment building.

New York Police Department spokesman Paul Browne said Sunday that the 47-year-old man went into a police precinct a couple of miles from where the attack happened in Brooklyn and said he had started a fire.

Authorities say the man has made statements implicating himself and came in reeking of gasoline. He hasn't been charged.

Doris Gillespie burned to death in the elevator Saturday afternoon. Police say a man was waiting for her, sprayed the 64-year-old woman with accelerant and set her on fire with a Molotov cocktail.

Police have said they believe the suspect knew Gillespie.