A Pennsylvania mom is in critical condition after police said she killed her children and husband, then shot herself, Philadelphia police said. >> Read more trending news Here are the latest updates: Update 5:49 a.m. EDT Oct. 16: Authorities have identified the woman accused of killing her children and husband late Monday in Philadelphia's Tacony neighborhood, multiple news outlets are reporting. According to WPVI-TV, Damyrra Jones Alcindor, 28, also shot herself, police said. As she was rushed to a nearby hospital, she reportedly told officials she did not want to be resuscitated. Philadelphia police Homicide Capt. Jason Smith said Alcindor admitted to fatally shooting her two daughters, ages 10 months and 4 years, as well as their father, the Philadelphia Inquirer reported Tuesday afternoon. Although police did not release the victims' names, a family member identified them as Max Alcindor, 38; Maxilla, 4; and Damaya, 10 months, WCAU-TV reported. Investigators said Alcindor, who legally bought the handgun earlier Monday, is facing murder charges in the case, according to WCAU. Original report: According to KYW-TV and the Philadelphia Inquirer, the deadly shooting occurred just before 10 p.m. Monday at a home in Philadelphia's Tacony neighborhood. Police said the 29-year-old woman fatally shot her two daughters, ages 10 months and 4 years, as well as their 35-year-old father. All three victims suffered gunshot wounds to the head, authorities said. When police arrived at the Hegerman Street home, they discovered the woman outside 'lying on top of a gun,' the Inquirer reported. Authorities said the woman, who apparently shot herself, was taken to a nearby hospital. Philadelphia police have not released the names of the woman or the victims, the news outlets reported. Read more here or here.