Paramedics were called to a property on Tinshill Mount just after 5.30am on Thursday May 12 after Glynis Woodhead was taken ill in the early hours of the morning.
She died at Leeds General Infirmary later that morning.
The coroner informed police and asked officers to investigate after a post mortem revealed she had died from an internal head injury.
Police said more tests will be needed to determine the cause of the injury.
A man in his 60s has been arrested in connection with the death and released on police bail pending continuing enquiries.
Detective Chief Inspector Ian Scott of West Yorkshire Police’s Homicide and Major Enquiry Team, said: “Police are conducting a number of enquiries into the matter and we are working to establish the full circumstances of what has taken place.
“We are continuing to treat the death as unexplained and are appealing for any information from residents which may help us build a better picture of what happened.
“I would like to speak with anyone who saw suspicious behaviour or heard anything significant in the area of Tinshill Mount/Tinshill Avenue in the early hours of May 12.
“Anyone who has information which may assist our enquiries should contact the Homicide and Major Enquiry Team on 101. Information can also be passed anonymously to the independent Crimestoppers charity on 0800 555 111.”