The Panthers (2-5) raced to a 24-1 lead and were never threatened by the Jaguars (1-6).
Southern, which shot 32 percent for the game, got its first basket 11 minutes in when Chris Thomas hit a 3. It was 32-14 at the half.
Eastern Illinois, which went 8 of 15 from 3-point range and shot 58 percent for the game, got 11 points from Chatman.
Jared Sam had 13 points for the Jaguars without missing a shot. He made three field goals and seven free throws.