Dean has been charged with murder. He's currently out on $200,000 bail.
Jefferson had been peacefully, innocently watching her 8-year-old nephew at the home.
Now, Barnes -- who played for the Dallas Mavericks for 3 years before being traded to the Kings -- has offered to help out the family and foot the bill for the funeral, which is scheduled for Saturday in Dallas.
Barnes has made a lot of money in his NBA career -- he recently signed a 4-year, $85 million extension. He has earned a reputation for being extremely generous with his money and often giving back to the community.