Swedish police could not confirm the cause of the deaths but have classified the case as a suspected double murder.
An emergency call was placed at 11am on Monday morning to say that two people had been found dead. Police would not say who made the call.
An ambulance was sent to the scene and paramedics confirmed that both the woman and a nine-month-old infant were dead.
The woman, originally from Sunnmøre in western Norway, moved to Sweden in 2008 because she didn’t feel safe in her home country, according to a ruling from the Västmanland district court in Sweden, newspaper VG reports.
Police sources told Swedish newspaper Aftonbladet that the woman had lived at a secret address for a period as a result of threats made against her.
In 2010, her then boyfriend was convicted in Sweden after assaulting the woman and threatening to kill her.
The woman had six children in all, but only had custody of the youngest, the infant girl found dead in the apartment.