Police say 28-year-old Michelle Herrera left 6-month-old Anyla in a seventh floor hallway of O'Dwyer Gardens apartment complex just before midnight Wednesday.
The baby girl was found after witnesses say they heard the baby's mother fighting with a man.
"I was home," neighbor Arlene Benjamin said. "I heard the rucus, but I never heard the baby."
The fight had continued on the seventh floor, where one resident, who did not want to be identified, described just how ugly it got, the whole time with the little baby shrieking.
"He was like, hitting her against the wall," she said.
The O'Dwyer Gardens is a six-building, 573-apartment housing complex, housing an estimated 1,059 residents.
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