Police say a Tennessee man killed one Walmart worker and wounded another in the store's parking lot in Alabama then went home and tried to shoot himself.

Huntsville police spokesman Harry Hobbs identified the suspect as 44-year-old Luke Bates of Taft, Tenn. Police believe Bates shot and killed 25-year-old Stan Ryan Malone on Monday and wounded 41-year-old Martha Ann White of New Market, Ala., outside the Huntsville store.

Police say Bates went to his home about 25 miles north in Tennessee, and a family member found him there with a self-inflicted gunshot wound.

Hobbs said White is in stable condition and that Bates is in critical condition.

Hobbs said White and Bates were once in a relationship but were no longer dating.