The woman who was found with her mother suffering serious injuries at a Premier Inn in Greenock died in hospital, last night.
Nicola McDonough, 23, died at Inverclyde Royal Hospital three days after her mother, Margaret McDonough, 52, was also fatally injured.
Mother and daughter had booked into a double room at the hotel for one night the previous day. Their car, a red Suzuki Swift, was left in the hotel car park.
Police, who said that they are not seeking anyone else in connection with the incident, are trying to piece together the movements of the women in the days leading up to their deaths.
Det Insp Wagstaff of Police Scotland, said: "I'd like to make it clear that at present we are keeping an open mind on the circumstances. However, we can confirm that we are not looking for any third party at this time.
"I need information from the local communities of Renfrewshire, Inverclyde and Balloch as these are the areas that we know Margaret and Nicola travelled to between Thursday 9 May and Friday 10 May."
Margaret McDonough was a foster carerer and had twice stood for local council elections for the Liberal Democrats. Her daughter had recently graduated from the University of West Scotland with a BA (Hons) in social work and was working for the charity, Cosgrove Care.