Here's an even easier method for lined-to-the-edge garments. Sew all the vertical seams in the garment and lining. Leave the shoulders open. With lining and garment right sides together, sew the neck to within 1-1/2 inches of the shoulder seam. Sew the armholes to within
1-1/2 inches of the shoulder seam front and back. Trim the sewn areas, turn and press. Sew the shoulder seam. Complete the sewing of the armhole. Turn in and press the garment and lining on the neck (only three inches). Slip stitch or ladder stitch to complete.
This is an especially good method when the shoulders are extremely narrow. You can still complete most of the operation with your machine. It works for straps on handbags, too.
Teri