Jeremiah and Shanise were Shanta's children, and Mells was her partner, police said.
"After being in this business for nearly 42 years, I can't describe the savagery of this", Tedesco told reporters Wednesday.
From the beginning, police, who have not provided details about the deaths, described the case as a horrific crime.
Mann, left, and James W. White have been arrested on murder charges in the deaths of two women and two children in their Troy apartment on December 26, 2017.
The city of Troy is located just outside of the state capital, Albany, and is about 160 miles north of New York City.
Tedesco said Myers and Mells were in a relationship with one another and lived with the children in the basement apartment.
Free Christmas tree recycling underway in Tuscaloosa
Christmas trees can be born again as valuable garden mulch and compost, highly valued by gardeners for its acidic qualities. Rohnert Park residents can have their trees picked up on their regular collection day the weeks of January 8-Jan. 19.
"He was a quintessential "Club Kid" who impacted the lives of so many staff, children and teens, parents and volunteers", the Boys & Girls Club said in a statement posted on a GoFundMe page that is raising money to cover the funeral and memorial costs. Once inside, the manager called 911. Shanta Myers (Mother to both children), 36 years old.
"I don't know of a word that can say it", Tedesco said on Tuesday.
He said the motive was unknown, adding that police were confident there would be no further arrests but that "it's certainly open as we continue".
Authorities have released the names of two women and two children slain in their upstate NY apartment and police are asking the public for information. Police are now asking the public for any information they may have about the killings. Her 5-year-old daughter loved cooking, too, so the family agreed to let her cook spaghetti as part of their Christmas meal.
The 11-year-old victim played basketball in a community league, according to the Troy Record. No suspect has been identified publicly.
Brandi Mells, 22, was Shanta Myers' girlfriend.