According to MLive.com, Carole Dalton is seeking sole custody of her two children (ages 10 and 15) with Jason Dalton, who authorities have accused of randomly firing on people around Kalamazoo County, Michigan, over several hours on Feb. 20 – killing six and injuring two.
Jason's family lawyer Paul Vlachos confirmed to PEOPLE that Carole had filed for divorce but would not comment further on the filing.
Jason later admitted "his involvement in these incidents," Kalamazoo County prosecutor Jeff Getting previously told reporters.
Jason faces six counts of murder, two counts of assault with intent to commit murder and eight counts of felony firearm use, according to MLive.com.
"There has been a breakdown in the marriage relationship to the extent the objects of matrimony have been destroyed and there remains no reasonable likelihood that the marriage can be preserved," according to Carole's divorce filing (using standard language under state law), MLive.com reports.
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In what authorities have described as "totally unprovoked, random acts of violence," Jason allegedly began firing on people around Kalamazoo County about 6 p.m. local time: at a townhouse community, a car dealership and a Cracker Barrel parking lot.
Kalamazoo County Sheriff's Office / AP
According to MLive.com, the victims have been identified as Dorothy Brown; Tiana Carruthers, who remained hospitalized earlier this week; Barbara Hawthorne; Abigail Kopf, who remained hospitalized earlier this week; Mary Jo Nye and her sister-in-law, Mary Lou Nye; and Richard Smith and his son, Tyler Smith.
Friends and family have mourned the eight victims.
The Dalton family has expressed their shock, disbelief and deep condolences, following the shootings and Jason's arrest.
"There are no words which can express our shock and disbelief, and we are devastated and saddened for the victims and the families of the victims," the family said in a statement to the media.
"We cannot comprehend the grief which you are feeling, and, while it seems woefully inadequate, we are deeply sorry and are praying for everyone affected."
With reporting by MARIA MERCEDES LARA