First I had to get the accordion off. I would recommend using one of those exacto knifes. The biggest trouble I had was how to cover up the discoloration from the glue that was used to put the accordion on. It was kind of all over the place. And I really wanted to use white fabric to recover the shade so we got the most light, as we primarily use the lamps for light (we much prefer that to overhead light). So I tried spray paint, but it didn't really do the trick. I ended up using two layers of fabric, which mostly worked.
Anyway, then I made a template with butcher paper by holding a pencil by the seam of the lampshade and tracing with it as I rolled the lampshade around until I got back to the seam. I did this on the top and bottom. I'd recommend cutting a little past the lines, because it was not an exact fit.
I used broadcloth for the first layer and then some lovely fabric I got on sale at Joann's for the outer layer.
I cut out the fabric according to the template and then used spray fabric adhesive to shape it to the lampshade.
Then I folded the fabric over the edges. Clothespins were indispensable for this process.
I trimmed them with matching grosgrain ribbon using my hot glue gun (Thanks Rach!) around the top. I thought about yellow, but I thought it might be too Disney. And I figured if my $1 lamps bit the dust I could use the shades for some gold leaf thrift store lamps in the future. :0)
Here's the after!