The Raleigh-Durham International Airport Authority Police Department said it was notified by police in Virginia early Sunday morning.
READ MORE: Airport releases surveillance photos of missing Starbucks worker
Cope was taken to the Sentara Virginia Beach Hospital by an officer and is in stable conditions, according to hospital officials.
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However, she refused to speak with ABC11 about the incident or her condition.
Cope, who has been a supervisor at the Starbucks in RDU's Terminal Two for four years, disappeared during her shift Monday afternoon.
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Police said she was officially reported missing at 7 p.m. Monday night when she never returned after leaving for her break.
RDU police later released three surveillance photos that showed Cope and her car at a Shell gas station at 942 Durham Road in Wake Forest at approximately 4:15 p.m. on Monday afternoon.
In a news release, RDU police said, "Airport police have thoroughly reviewed the video and there is no evidence that she is under any distress. Furthermore, RDU Police have uncovered no evidence of any crimes being committed at the airport or anywhere on the airport campus."
The images didn't explain why Cope left her phone and purse behind at work. Her friends also said that she is not the type to not show up for work or to the dog rescue she runs with her friend.