Foxworth's arrest stems from a theft that happened between Wednesday night and Thursday morning when someone stole several items from a construction site on Lesesne Street.
The stolen items included a saw, a cord, a heater, posts and a bag of hand tools.
Around 12:30 a.m. on Thursday, officers initiated a traffic stop on a white Chevy pickup that was seen leaving the area. Police say three people were spotted in the vehicle.
According to police, the driver of the truck ran from the scene, but was later identified as Walker.
The tools reported stolen were found in the back of the truck.
Foxworth, Walker and Dyson are also suspected in a burglary that happened on Feb. 21 at a home on Padgett Street, and a vandalism that occurred on Feb. 25 at a home on Delahow Street.
Police are continuing the investigation.
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