Mother-of-four Joanne Thompson, 33, was found at her Old Mill Court home in Newtownards on Wednesday by a relative.
Police want to hear from witnesses to any disturbance at a bonfire at Dakota Avenue in the town on Monday.
They also want to hear from anyone who noticed activity around Ms Thompson's home on Tuesday night and the early hours of Wednesday morning.

Dan Groves said the "finer points" of a deal which could see Wright buy 20% of the club are yet to be released.
The Sun reported that the 30-year-old will become a club director.
Billericay are eighth in the Isthmian League Premier Division, three points adrift of a play-off place.
Wright, who was runner-up in I'm A Celebrity Get Me Out Of Here in 2011, played non-league football for a succession of clubs, including Lewes, Crawley Town and Rushden & Diamonds.
Billericay have recently been taken over by multi-millionaire Glenn Tamplin, who said shortly after completing a deal for the club that he was "comfortable" investing £10,000 a week.
The club signed former England international Paul Konchesky, 35, at the start of March.
The death of a woman whose body was found in her home in County Down is being treated as suspicious.
[NEXT_CONCEPT]
The chairman of non-league Billericay Town has confirmed "there is truth" in reports that former The Only Way is Essex personality Mark Wright is set to invest in the club.