maviskw

Someone else suggested to sew the lining seam together on the inside after it has been turned right side out. That's a good idea, making the seam as close to the edge as you can get it without falling off.
I would do that with a very small zig-zag stitch. Do it very slowly with one stitch on the fabric and the next stitch off the fabric. After that has been sewn, a little tug will make the seam open up almost as if it were stitched flat.