Anyway, the bards who sing this song claim that it's a traditional song of Whiterun. The first line is "There once was a hero named Ragnar the Red, who came riding to Whiterun from ole Rorikstead!"
However, Rorikstead was in fact named after the man Rorik, who appears no older than 60 and claims he bought all the land while everyone was fighting in the great war, which ended about 25 years before the current date. Even assuming the town was built and named immediately after he bought it, the town still couldn't be more than 25-30 years old. Giving enough time for people to settle there and for people to learn about and write songs about it, there's no way that song could be in any way "traditional". Not to mention I hardly think it's earned the title "ole Rorikstead" when it's in a country with cities like Windhelm that are over 5000 years old.