A local NBC television affiliate reported that a body was seen covered in a white sheet in the parking lot of a Kroger supermarket.
The grocery store later issued a statement confirming that a suspect had been taken into custody and the scene had been cleared.
The identities of the deceased remain uncertain.
The shooting took place around 2:30 p.m. (1830 GMT), Kroger said.
Multiple reports claimed two people were injured after two suspects exchanged gunfire.