Cleveland Police Chief Calvin Williams is urging Stephens to turn himself in and not to "do anymore harm to anybody".
In one, he tells someone over the phone that "I'm at the point where I snapped" and says he's killed 13 people.
Late Sunday night Cleveland police issued an aggravated murder warrant for Stephens and warned he could have crossed into Pennsylvania, New York, Indiana or MI. Anyone with information may contact the Cleveland Police Department of the FBI at 1-800-CALL-FBI (225-5324). Police said suspect Steve Stephens, who is on the run, shot Goodwin and posted the killing online. People have been asked to remain vigilant in Pennsylvania, New York, Indiana, and MI.
In another Facebook post, Stephens blamed the shooting on a woman named Joy Lane, who is believed to be his ex-girlfriend, according to the Daily Mail.
Some of those who know Stephens described him as pleasant and kind, while some said he had a gambling problem. "We called him the junk man", she said.
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Beech Brook spokeswoman Nancy Kortemeyer said Sunday that news of the shooting shocked and horrified the agency.
Williams and Jackson held a joint press conference discussing the investigation into the shooting and urging Stephens to turn himself in. Stephens and Godwin didn't know each other, authorities say.
Authorities are offering a $50,000 reward for the arrest of Steve Stephens, the man accused of publishing video of a murder to Facebook this past week.
Williams said authorities will not stop searching until he's in custody.
Detectives spoke with Stephens on Sunday by cellphone and tried to persuade him to surrender, police said. He was last seen wearing a dark blue and grey or black striped polo shirt and was driving in a white Ford Fusion with OH temporary tag E363630. "She's the reason why this is about to happen to you", Stevens told the victim before pulling out a gun and shooting him. "I know, Steve, that you have a relationship with some of our clergy in Northeast Ohio. We work hard to keep a safe environment on Facebook, and are in touch with law enforcement in emergencies when there are direct threats to physical safety".
The chief also said they've been talking with family and friends of Stephens, who is employed at Beech Brook, a behavioral health agency headquartered in Pepper Pike, near Cleveland.
Stephens' Facebook posts and account have since been deleted.