The man then took their 2011 Nissan Rogue, they said.
It was not clear how long he had been there, a bag of carrots and milk were in the refrigerator, they said.
At around 12:20 p.m., some 15 minutes after he left, they freed themselves and called 911 to report the incident, they said.
"We're very happy to be alive," Karen Reynolds said. "I didn't wish him dead though ... I prayed for him a lot and I'm praying for his family now."
A 'guy with a big gun'
At 12:45 p.m., Fish and Wildlife wardens spotted the SUV and began pursuing it.
The wardens, driving in separate vehicles, chased Dorner, and a gunbattle ensued. One of the warden's cars was hit, and Dorner crashed his car and ran, according to authorities. He then carjacked a pickup truck.
Rick Heltebrake, a camp ranger, said he was driving when he saw the crashed purple vehicle -- and then something terrifying.
"Here comes this guy with a big gun, and I knew who it was right away," Heltebrake told CNN affiliate KTLA. "He just came out of the snow at me with his gun at my head. He said, 'I don't want to hurt you. Just get out of the car and start walking.' "
Heltebrake said the man let him take his dog and walk away with his hands up.