Brunson was found dead in her apartment at Old Poplar Place Thursday morning. She was found by a neighbor.
Authorities have called the death suspicious.
Burnson was 83 years old and had lived in the complex for more than 26 years.
Lauderdale County Coroner Clayton Cobler said the woman, found in her bedroom, had died early Wednesday morning. The coroner said he saw evidence of foul play.
Meridian police expect to make a final report in the case available on Saturday.
The Associated Press contributed to this report.