Lady Gaga gifted a fan the jacket she was wearing after the singer was touched by the young woman's story about her music.Shannon McKee, 27, appeared on U.S. TV show Today on Thursday to discuss the incident, after pictures of the moment went viral on social media this week.Recalling her first encounter with the Rain on Me singer at a market in Malibu, California, McKee said she approached the star to compliment the garment - without realising who she was.