Just before 5 a.m., HPD responded to a shooting call on W. Little York and Domino Lane, near the North Freeway.
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Officials say the baby was inside the third-floor apartment with three adults when someone showed up and started firing shots during a fight.
When officers arrived, they found a man who had been shot to death and a woman who also had a gunshot wound. She was taken to the hospital in critical condition.
A second man and a baby also in the apartment were both OK, authorities told ABC13.
A neighbor reported hearing banging and then gunshots.
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Police said they do not know who the shooter is, but they are looking for surveillance video.
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