A man opened fire at an in-home day-care center Tuesday, killing a 3-year-old girl and critically wounding two women, officials said.

Police spokesman James Tate said the child died after being rushed to the hospital in critical condition. She'd been shot in the head, a doctor said.

Police were searching for the shooter, who they said came to the door of the house, exchanged words with someone, entered and opened fire.

"It appears as though this was not random," Police Chief Ella Bully-Cummings (search) said.

Tate said one of the injured women, Annette Rice, 41, owned the day-care business. The second woman was identified as 22-year-old Sherita Griggs, Rice's niece. Both were critically injured.

Griggs' 4-month-son suffered a head injury, possibly from being dropped, and was taken to a hospital, officials said. Her husband, Clarence Griggs, said the child was doing well Tuesday evening.

Two other children, apparently uninjured, were taken to a hospital as a precaution, authorities said.

The Family Independence Agency (search), which oversees day-care facilities in Michigan, listed the address where the shooting took place as a licensed facility serving up to 12 infants, toddlers or school-aged children.

Police cordoned off a stretch of the leafy residential street in Detroit. Neighbors sat watching on porches and stoops as officials went in and out of the beige house.

"It's awful. I'm ready to move," said Tanya Tate, who sat on a stoop across the street with her 1-year-old daughter on her lap.