Police are requesting the public's assistance in identifying a woman who calls herself Linda. (Toronto Police Service)

Police say a woman known only as "Linda," who walked into a Toronto shelter a month ago with no memory of her life, has managed to recall details about Halifax.

Toronto Police Service Det. Chris Burke told CBC News that Linda, who is currently in hospital, has been able to recall details about a busy intersection in downtown Halifax.

"She was speaking with an officer the other day and she had indicated that she knew the area of Spring Garden Road and Barrington Street," Burke told CBC News on Thursday.

"She couldn't provide us with anything more than that. But that was some very concrete information that came from her because we haven't gotten much else out of her whatsoever."

Toronto police have been baffled by Linda, who walked into a downtown shelter on Sept. 5 claiming she could only remember her first name.

She was not carrying identification with which to confirm her name.

Linda is described as a white woman with blue eyes and straight, blond shoulder-length hair.

Toronto Police released this updated photo of the woman known as Linda. (Toronto Police Service)

She stands five feet seven inches tall, weighs 150 pounds and is believed to be between the ages of 55 to 60 years old. Linda showed up at the shelter wearing a dark blue jean jacket, black Capri−style pants, black slip−on shoes, a pink bandana, white ankle socks, glasses with light brown frames and a pink watch.

Burke said when Linda appeared at the Toronto shelter, she did not look as though she was living on the street.

"The day she appeared in the shelter, she was very well manicured, had make up on. Dressed well. Her hair was groomed well, she didn't appear to be a person who had lived on the street whatsoever," he said.

"In the time she has spent in hospital, we have spoken to her on several occasions. On occasion we'll get some information from her and other occasions we don't get a lot."