After a search, police found an 11-year-old child and a 10-month-old dead.
Phoenix police said that the suspect, who has now been taken into custody, got into nearly a seven-hour standoff with police, which led to a police officer being hurt and the gunman also barricaded himself inside the apartment.
Police said they made contact with the gunman inside an apartment and that is when they discovered that two children were believed to be inside with him.
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A man was taken into custody by police after 10 p.m. Monday after a standoff with officers and is suspected of killing the woman.
Police responded Monday afternoon to a report of gunfire and found a woman dead in the parking lot.
An officer who was injured as police entered the apartment was taken to a nearby hospital and is in stable condition.
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Ross, who was visiting Phoenix for the holidays, was not hurt, Howard said.
Authorities have not released a motive or the names of the woman and children.
Residents of the upscale apartment complex near the Biltmore area were not allowed to leave and others were not able to return to their homes there. Police were investigating the shooting that they described as a domestic violence incident. "It's eerie. I feel bad for whoever is going through this", Kristen Alexander told CBS News affiliate KPHO-TV.
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It was not clear if Ross had a lawyer who could speak on his behalf.