Police discovered Griffin's body Sunday on the second floor of her home in the 7000 block of Emerson Avenue.
Later Sunday, Lowry showed up at a police station in Jacksonville. He had what he called self-inflicted wounds on his wrists and hands, and told police he drove to Florida under the influence of pills, Chitwood said.
Jacksonville police committed Lowry to a mental-health facility, and he then was charged with driving under the influence.
Two Upper Darby detectives flew to Florida on Monday. They obtained a search warrant for the car and lodged detainers against Lowry for auto theft and violating a protection-from-abuse order, said Chitwood.
Lowry has refused to talk with Upper Darby police, Chitwood said, adding that police hoped to bring Lowry back to Pennsylvania soon.
"Based on his past history of domestic violence, they must have had an argument," said Chitwood. He speculated that Lowry strangled Griffin, took her car, and fled to Florida. Chitwood said he did not know what connections Lowry might have to Florida.
While police have Lowry in custody, they still would need to find evidence for any further charges, Chitwood said.
"It is a long, tedious investigation to put the pieces together to charge this guy with murder," he said.
Lowry shows "no remorse," said Chitwood. "There is no doubt in my mind he did it. We just have to put it together."