The body was found with a cut around the neck, and it is believed that she was strangled with a rope.
The eldest daughter was also found with a cut around her neck and it is believed that the assailants had attempted to strangulate her while she was sleeping.
The Accra Regional Police Public Relations Officer, Assistant Superintendent of Police (ASP) Mrs Afia Tenge, who confirmed the incident, said the police received information from some neighbours of the deceased at Klagon.
The neighbours are said to have told the police that some people had attacked the woman in the night and killed her.
The police, she said, went to the scene and found the body of the woman in her room.
The body has since been retrieved by the crime scene experts and deposited at the Police Hospital in Accra for autopsy.