Elizabeth Mackay’s body was discovered in the Inverness property on Thursday.
It is the second murder linked to the unassuming bungalow in the city’s Kintail Court.
In July 2006, the remains of hairdresser Ilene O’Connor were found buried in its garden.
Brian Grant, 50, was jailed for murdering Ilene a year later.
At the High Court in Edinburgh, jurors heard how Grant punched, kicked and stamped on Ilene before hiding her lifeless body in his garden and then going on the run.
Now, Police Scotland have confirmed a second major inquiry in relation to the property.
They are urgently appealing for anyone with information about Elizabeth’s death to contact them.
She was discovered lying on the blood-splattered floor of the kitchen.
Door-to-door inquiries were being carried out along with a review of CCTV footage.
Officers have also taped off the garden and drafted in forensic specialists to help with the investigation.
Detective Chief Inspector Keith Hardie, of Police Scotland, said: “We are at the very early stages of the investigation and I am appealing to anyone who may have seen Elizabeth in the days leading up to Thursday.
“This lady has lost her life and we need to piece together the circumstances.
“I would encourage anyone who may have seen or heard anything suspicious to contact police.”
Locals in the quiet cul-de-sac in the Hilton area of the city were left shocked by the grim history.
One said: “The two things happening at the same address is very odd. Everyone is talking about it.”
Another neighbour said Elizabeth, 60, was well liked.
“Although she had been here for a few years, she didn’t say much.
“I didn’t hear or see anything recently which would have made me suspicious.”
Inverness’s deputy provost Jean Slater said the latest incident had stunned the tight-knit community.
“It’s a bizarre and very sad coincidence that both of these murders have been connected to the same house.
“It’s shocked the community to its core.
“My thoughts and prayers are with the family as they get through this incredibly tough time.
“I just hope that anyone with any information comes forward as quickly as possible to help police solve this appalling crime.”
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