Apr 27, 2015. Jake Gyllenhaal is cooking Thanksgiving dinner for his family. If you want to date Jake Gyllenhaal, you'll have to impress his mother first. In 2010, Gyllenhaal had a brief romance with Taylor Swift, 25, who wrote the song “All Too Well” about their relationship, including the line “You used to be a little kid. Jake Gyllenhaal is taking his relationship with model Alyssa Miller public and RumorFix…