The couple of two months paid their respects to Mary Richards Kennedy who committed suicide in May. She was separated from Conor's father Robert F. Kennedy Jr., and she reportedly suffered from depression and alcoholism.
According to ETonline.com, the hot new pair spent about 25 minutes at the grave and went to church. Afterwards, they went to breakfast and then did some shopping.
The site has footage of Taylor at the cemetery with Conor and other members of the Kennedy clan. In the video, you see Taylor being swarmed by fans and she politely take pics with people who ask. You also see her at the grave holding hands with Conor as they take a few moments to pay tribute to his mother.
Check out the video here.