Witnesses said Rodney "Big Head" Jennings Jr. shot and killed an unarmed man after he was told to leave a residence at 2755 6th Avenue Court.
Jennings, 27, was taken into custody this week at an apartment complex in Memphis after being on the TBI's 10 Most Wanted list.
He is charged with the first-degree murder of 25-year-old Raphael White on Jan. 28.
Witnesses said White came to the residence to see his children. They said after he stepped into the kitchen he was told that the children were asleep and he should leave.
Police said they were advised that White told Jennings he did not want any problems, but just wanted him to leave.
Jennings then said he also did not want any problems and he walked backwards out of an inner door, it was stated.
However, witnesses said as White was closing that door that Jennings fired a shot that struck him in the chest.
Jennings fled toward 4th Avenue.