Woodley, Luke and twins Deona and Keona Luke went inside while Luke’s 15-year-old daughter, Kierra Smith, stayed inside the SUV.
Woodley’s cousin told police that the couple argued inside the apartment and Woodley shot Luke and the twins before going outside and firing into the SUV, wounding Smith, the news release said.
Three other children inside the apartment, including the couple’s 3-year-old daughter, were not harmed.
Police said Woodley ran into the woods after the shooting, wearing blue shorts and a gray t-shirt.
The police department’s domestic violence division said it has no prior history on the family.
The news release said Woodley’s parole expired in 2010. In addition to his murder conviction, he has a long arrest record in Nashville and felony convictions in Shelby County for aggravated assault and cocaine possession, police said,