A post-mortem examination has been carried out by a Home Office pathologist but the results have yet to be released as to how Ms Bainbridge came about her death.
The area around the house was cordoned off throughout Thursday and forensic officers continued examining the property.
And police appealed for anyone who saw suspicious activity in Short Row or who saw anyone coming to and from the house between Sunday, December 1, and Tuesday, December 10, to contact them.
David and Pat Gascoyne were among neighbours who said they were shocked at the discovery and that they were "especially concerned" that the victim was a pensioner.Mr Gascoyne, 77, said: "What's happened is sad and a shock.
"We don't want anything like that happening around here and it doesn't feel realistic. The neighbours have been very shocked."
Brian Cooper, 51, of Long Row, said: "It's a shock more than anything, to be honest.
"Things like this don't really happen here."
Gavin McDowell, manager at the George and Dragon pub, in Bridge Street, said: "This is all people have been talking about and they are very shocked."
Nicola Conquest. 55, of Merlin Close, owns Fleur Florists, in King Street. She said: "There have been people in the shop talking about it." Kim Backler, 34, of Mill Street, said: "I spoke to her occasionally, she seemed quite pleasant and was always willing to talk. "My husband Peter spoke to her when passing because we have a similar cat. "It's still a shock especially when I saw her photo and only living round the corner. "I send my condolences. My thoughts are with her and her family and friends."
Anybody with any information should contact police on 101 or Crimestoppers on 0800 555 111.
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