Nicola McDonough, 23, and her mother Margaret, 52, were found at the Premier Inn in Greenock, Inverclyde, at around 7am on Friday May 10 last year.
Margaret McDonough, who was discovered in a bedroom, died first while her social work student daughter, who was found in the hotel hallway, died three days later in hospital, where she had been in a critical condition.
They had been seen in Paisley on Thursday May 9 at about 9am, before they travelled to the Balloch area, where they were later seen in a Suzuki Swift vehicle.
The women, both from Paisley, checked into the Premier Inn at about 3.50pm the day before they were found injured. They left a short time later and then returned between 12.30am and 1am the next day.
Police Scotland said: "We can confirm that a 31-year-old woman is the subject of a report to the procurator fiscal in connection with incidents that occurred between May 2012 and May 2013." A Crown Office spokesman said: "The procurator fiscal has received a report concerning a 31-year-old woman, in connection with alleged incidents occurring between May 2012 and May 2013. The report remains under the consideration of the procurator fiscal."
Margaret McDonough was a foster carer who had been a candidate for the Scottish Liberal Democrats in Renfrewshire in the 2012 council elections.