Smith was fatally shot and pronounced dead at the scene.
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Vick was taken to a local hospital with non-life threatening injuries.
Investigators have identified the suspect as Troy Anthony Eaton, 43, from Rienzi. He eventually surrendered to law enforcement around 5:30 a.m. Sunday, authorities said.
State, local and federal authorities assisted with the search for Eaton, officers said.
The ongoing investigation is now being handled by the Mississippi Bureau of Investigation.