Joseph Hill, 24, of Willisburg, is in critical condition at University of Kentucky Hospital after suffering a gunshot wound last Tuesday night.
Hill was allegedly shot once after an altercation with 71-year-old Charles Chesser. Washington County Sheriff Jerry Pinkston said Chesser is believed to be the shooter.
The incident happened in the roadway on Glens Creek Road in Willisburg.
Pinkston said the investigation is ongoing, and that the department, with support from Kentucky State Police, is looking into what led to the confrontation.