"Things have become so serious between them so fast that no one in the Kennedy family compound at Hyannis Port would be surprised if they eloped," nypost.com quoted a source as saying.
"They are inseparable and are all over each other all the time," the source added. Swift, 22, even sent a plane for Kennedy so that he could fly to her in her hometown Nashville, Tennessee.
"Taylor missed Conor so much, she sent a plane for him a few days later. He's been with her ever since, and his family doesn't know when he will be back," a source said.