My inspiration was a recent J. Jill catalog that featured a couple of sweaters with removable cowls, the perfect way to make my top more versatile and use that remnant.
I've been seeing scarves like this on lots of sewing sites and in RTW. The NY Times has gone so far as to declare convertible clothing a trend.
It would have been simple enough to wing it, but I used directions from a recent Vogue Patterns Magazine since I had them. Basically, sew a tube, beginning and ending the stitching about 4" from the ends of the fabric. Turn right side out and sew the ends of the tube together. Hand stitch the opening closed. Done! This quick shot shows what it looks like with the original garment:
My scarf ended up 64" in circumference and 8 1/2" wide, a generously sized scarf. While I first envisioned just a cowl neck, this is a good bit larger. It needs to be looped twice around the neck to look like a cowl. I'm sure there are other configurations that I'll discover as I wear it. The scarf will also go with other items in my closet.
I'm never going to be one of those sewists who feels that she has to use every inch of fabric left over from a project. However, playing with remnants is a low-stress way to play around and think a little bit out of the box.