Jefferson, 28, was shot dead by former police officer Aaron Dean at Fort Worth on a Saturday morning health check-up after an affected neighbor called the police. Jefferson had been playing video games with her 8-year-old nephew when she was shot, according to a lawyer for the family.
Barnes, an eight-year-old NBA veteran, joins the region after playing nearly three seasons with the Dallas Mavericks and has said he Want to give back to the community during an interview with reporters.
CNN has asked S. Lee Merritt, the Jefferson family lawyer, and Barnes and Jackson representatives for comments.
A wake-up call is scheduled for Friday, and the funeral is scheduled to take place on Saturday and is open to the public, according to the Jefferson family lawyer.
"It's about the family," Barnes said. "It's about everything they go through, our prayers are obviously with them and it was a gesture that my wife and I wanted to do for them."
Dean resigned and was arrested on Monday and charged with murder. Fort Worth police investigate the shooting.