Williams' wife, who was off-duty, then fired back at Williams, striking and injuring him in the arm.
The male acquaintance was not struck when the husband shot at him, according police News Affairs Officer Hector Alfaro, who said the husband was the only person wounded in the incident.
A weapon was recovered on the scene, according to a News Affairs release.
"The fire department was never dispatched for medical transports,'' according to Chicago Fire Department Media Affairs spokesman Larry Langford.
Calumet Area detectives are also investigating.
The Sun-Times Media Wire contributed to this report.