Hasna Ait Boulahcen, 26, died in a Saint-Denis flat alongside suspected ringleader Abdelhamid Abaaoud.
Her family's lawyer Fabien N'Doumou said she may have been shot by police.
But the Paris prosecutor's office has told the BBC an autopsy shows she died from asphyxiation after an explosion caused by a suicide vest.
Reports in the days after the raid said Boulahcen had detonated the suicide vest.
But in early January, prosecutors said a third suspect who died in the raid, Belgian-Moroccan national Chakib Akrouh, was wearing the explosives.
Boulahcen's mother, sister and brother have lodged a murder complaint, against persons unknown. They are asking for her body to be returned for burial, and for the investigation to re-examine how she died. Read more on bbc.