Have hog ringed the burlap and the jute. How does the vinyl cover attach?
Here's a thread showing the grooved channel on a new spring that is crimped shut with some type of pliers to hold the edge of the cover.
If your using an original spring you will have to pry open the channel along the spring so you can put the edge of the upholstery into the channel and crimp it over.
And make sure the skirt has welt in it, or it won't stay in.