Detectives from the Homicide and Major Crime Command are investigating following a fatal fire in Teddington.
Police were called just after 01:00hrs on Wednesday, 22 August, to a fire at an address on Mays Road.
Officers attended along with the London Ambulance Service and London Fire Brigade.
A 73-year-old woman was found dead inside the address. Her next of kin have been informed.
Although formal identification awaits, police are confident the victim is Carole Harrison who lived at the address.
A post-mortem examination was held at Kingston Mortuary on Thursday, 23 August in which a cause of death has not yet been established and awaits further tests. However, she was found to have injuries consistent with an assault.
Detective Chief Inspector Richard Leonard, said: "At this stage we are appealing to anyone who saw the Mrs Harrison on the day leading up to the fire. In particular we want to hear from anyone who may have seen her out and about and most particularly if she had anyone with her. Anyone with information should call police immediately."
The family of Carole Harrison have issued the following statement:
"Carole Harrison was a loving mother and caring person who dedicated most of her life to nursing in the NHS and private care homes.
"She really was a Grandmother with character and will be deeply missed for her unique cheeky laugh and comical character.
"Due to the illness she suffered from, she trusted anyone that she met, sought friendship in many people and was known for being somewhat generous at times.
"Her illness could make her frustrated at times too.
"This is a very difficult time for us and we appreciate that there is an ongoing Police investigation and we would ask anyone who knows anything that could help with the investigation to please contact the police. Particularly if anyone saw her on Tuesday, 21 August. If you have ANY information please contact the police immediately on 0208 721 4622.
"We ask that our privacy during this difficult time is respected by all."
There have been no arrests and enquires continue at this time.
Any witnesses or anyone with any information is asked to call detectives on 020 8721 4622.
You can also contact police via 101 or contact via Twitter @MetCC quoting reference 353/22Aug
To give information anonymously contact Crimestoppers on 0800 555 111 or online at crimestoppers-uk.org