The Westchester County Department of Public Safety is also investigating the encounter.
The police did not say if it was the mother of the deceased child she had asked for help. The child's grandmother also lives at the address, according to the broadcast received by Broadcastify, a streaming service.
The caller called the officers home around 1:30 pm, police said. But the dispatcher hinted that "a small language barrier" existed between the police and the caller.
"I can not understand it," he said on the radio. Moments later, he added, "She said someone could die, unsure."
The interviewed officials found the toddler alone and unconscious and started to help. One of them called for an ambulance, police said.
When the officers began to search the house for other people, the woman attacked her with the knife and injured two of them, police said.
"The female was you gave the officers numerous verbal orders to show their hands," said Sergeant DiRuzza in the statement.
The woman did not comply and the officers used her taser stun guns, police said. When they could not stop the woman, one of the officers opened the fire and wounded her.
The woman was taken to a hospital where she stayed on Sunday. The district medical examiner conducted an autopsy to determine the cause of the girl's death.
Four police officers were taken to the hospital for evaluation and treatment for injuries that were not classified as life-threatening, police said.
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