Sven I Rosengard is an analogue of the ballad Edward. I'd certainly be interested, too, in any text or music anyone might be able to come up with. I expect that there will be a number of texts in Archer Taylor's book "Edward" and "Sven I Rosengard": a Study in the Dissemination of a Ballad (1931), but perhaps without music. I don't have that, unfortunately (yet).