When officers confronted Stephens, he fled in his vehicle before later being stopped, the chief said, adding: "As the officers approached that vehicle, Steve Stephens took his own life".
"I don't want that man to die, I want him brought to justice", one of his sons, Robby Miller, told CNN.
The Godwin family is coming to grips with the cold-blooded slaying, a killing seen by untold numbers of people after his suspected killer posted video of the shooting to Facebook. She says: "If you did it, you have to face your crime". Police confirm that Steve Stephens had a concealed carry permit and had no known criminal record outside of traffic tickets.
There was little in Stephens' history, as told by those who knew him, to suggest the violence he was about to document.
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Police say the man who killed a man in Cleveland and posted video of it on Facebook was located in Pennsylvania because of a tip, which led to a pursuit that ended with the suspect shooting himself to death.
Wheeler said she followed the chase and saw a trooper clip Stephens' rear bumper.
But Cleveland Police Chief Calvin Williams likely spoke for many when he said moments later: "We have so many questions". "They had their guns out but when he shook his head, they lowered their guns".
On Monday evening, Facebook announced that it was launching a review for reporting harmful content following the killing. Godwin did not seem to recognize the name.
As previously reported, Stephens said in one of his videos uploaded to Facebook on Sunday that he was upset about problems with his girlfriend, Joy Lane, which drove him to gambling and financial ruin.
Facebook said it removed the video of the shooting 23 minutes after learning of it.
Stephens said in a separate video on Facebook on Sunday that he had already killed a dozen others.
Authorities issued an arrest warrant on a charge of aggravated murder, put him on the Federal Bureau of Investigation most wanted listed, and offered up to $50,000 for information leading to his arrest - while warning he was "armed and unsafe".