The technology giant's chief executive said "our hearts go out to the friends and family" of Mr Godwin, who was shot dead by Steve Stephens in the U.S. city of Cleveland in Sunday in an apparent random killing.
Pennsylvania Gov. Tom Wolf tweeted a thank you to the state police "for their vigilance in pursuing the Facebook killer". Police caught up with Stephens shortly after the exchange, and, following a brief chase, Stephens shot and killed himself, according to officials.
On Monday, authorities announced a $50,000 reward for information leading to Stephens' arrest.
On Tuesday morning, Stephens took his own life inside his auto in Erie, Pennsylvania.
Officials in the OH city said they were looking for Steve Stephens in connection with the one confirmed killing. She mentioned his Facebook posts and Stephens claimed to have killed 14 people.
Stephens' vehicle sustained minor damage after a trooper couldn't stop in time and hit the auto, but no injuries to law enforcement were reported.
The videos remained on Facebook for hours, drawing criticism of the platform's reporting system and raising questions about what Facebook should do to censor videos of this sort, and prevent a similar incident from happening again. Facebook says it removed the video 23 minutes after being alerted to it. Stephens' account was deactivated.
"He said this (was) the last time I was going to see him", Green said.
Stephens, a job counselor who worked with teenagers and young people, was wanted on an aggravated murder charge.
"He was definitely one in a million", said another daughter, Debbie Godwin.
In his video, he said he was looking for someone to kill and settled on Godwin apparently at random. "Can you double check I'm right?'" franchise owner Thomas DuCharme said.
Ms Wheeler followed behind for a couple of miles and said the chase slowed suddenly from 50mph to about 20mph when the road narrowed from four lanes to two.
Asked about the role that social media played in Godwin's death, Williams spoke about the viral video of the victim's shooting, saying, "This should not have been shared around the world, period".