The body of Nicola Jayne Campbell was discovered at the property in Harpurhey, Greater Manchester, on Friday alongside the body of a man.
She had been stabbed multiple times, police said – with a murder investigation launched.
The death of the man, also in his 30s, is not being treated as suspicious.
Police say they are waiting for toxicology results for more information on how the man died.
Ms Campbell’s family have said they are heartbroken by her death.
Her mother Jayne said: “Niki was not just my daughter but my best friend. Niki was the life and soul of the party. Always smiling and willing to help anyone.”
“Niki was part of a close knit family and was a brilliant auntie. Niki was bubbly and a happy go lucky person. Her death has left us utterly heartbroken and feeling empty.”
Police were called to the house in Beech Mount at 10.10am on Friday.
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Detective Chief Inspector Terry Crompton said: “My thoughts are very much with the families and we are continuing to support them through this incredibly hard time.”
“Our enquiries remain ongoing and I would continue to urge anyone with any information that could help our investigation to please get in touch.”