▶ Watch Video: Shooter in Nashville school shooting identified as 28-year-old woman

Police have identified the three children and three adults who were killed in a mass shooting at The Covenant School in Nashville’s Green Hills neighborhood on Monday morning. 

Authorities identified the children as Evelyn Dieckhaus, Hallie Scruggs and William Kinney, all 9-years-old, and the adults as Cynthia Peak, 61, Katherine Koonce, 60, and Mike Hill, 61.

The Nashville Presbytery confirmed to CBS News that 9-year-old Scruggs was the daughter of Chad Scruggs, the senior pastor at Covenant Presbyterian Church.

All three adults worked at the school. Hill worked as a custodian, Peak was identified by authorities as a substitute teacher and Koonce is listed as head of school on the school’s website

Police said the shooter was a 28-year-old from Nashville and was armed with “at least” two assault rifles and a handgun. 

Nashville Police Chief John Drake confirmed earlier on Monday afternoon that the three children were identified and their families had been contacted.

Police said their preliminary investigation indicates that the shooter was at one time a student at the school, Drake said, but it was not clear when they may have attended.

Covenant, founded in 2001, is a private Christian school with 33 teachers and up to 210 students starting in preschool through 6th grade, according to the school website.

The shooter entered Covenant School through a side door and traversed the building, moving from the first floor to the second floor and “firing multiple shots,” Metropolitan Nashville Police Department spokesman Don Aaron said. 

Responding officers saw the shooter firing on the second level, and at that point, they “engaged,” Aaron said. The shooter was fatally shot by two of the five responding police officers at the scene, he said.