A Shelby County Sheriff’s Office spokesman told WSMV-TV (http://bit.ly/11ELcnG) that Earnest Moore, who also goes by Earnest Woodley, turned himself in around 4:20 a.m. Sunday.
Nashville police were expected to travel to Memphis and bring him back.
Officials in Nashville and Memphis did not immediately return calls left by The Associated Press.
Police say Moore shot 34-year-old Nicole Luke and her daughters Friday afternoon in an apartment complex in the city’s Madison neighborhood.
Police say one of the teens who were shot has been released from Vanderbilt University Hospital. The others remain hospitalized in stable condition.
According to a police news release, Moore and Luke were moving to Memphis when they stopped by Moore’s cousin’s apartment to say goodbye. They parked two vehicles outside, a U-Haul full of their belongings and a Chevrolet Traverse.
Moore, Luke and twins Deona and Keona Luke went inside while Luke’s 15-year-old daughter, Kierra Smith, stayed in the SUV.
Moore’s cousin told police the couple argued inside the apartment and Moore 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.
The police department’s domestic violence division said it has no prior history on the family.
The news release said Moore’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.