Deb watkins

There is a product used for outlining stained glass pieces. I think it is called Lead Line and comes in different thicknesses.

Irishrose2

I cut a narrow bias strip, turned the edges under and blanket stitched both edges using a narrower than usual stitch width.

Claire123

Maybe piping?

quiltingshorttimer

QuiltnNan has 2 really good ideas here--both would also allow you to have some dip to the "wire" to make it more natural looking.

illinois

Remember soutash(sp?) braid? In the days we wore blouses with sailor collars, the braid did the single line around the collar. It was stitched in a ditch in the center and fairly easy to apply as I remember it. That would make a very fine line for skinny bird legs.

trolleystation

I like your idea of couching. It would also add some texture.

trolleystation

I like your idea of couching. It would also add some texture.

fruitloop

I took a class how to add 1/8 inch wide pieces to fabric. It's been a long time but the main thing I remember is to sew with the fabric to the right not the left of the needle. We made a square starting with a solid square and adding 1/8 to 3/4 inch border all around it to make a 6 inch square. I still have mine as a reference if I ever want to do it again.

klswift

Could you use a bit of trim? Ribbon, bias tape, ric rac? Or maybe fabric that doesn't fray, such as a strip of faux suede? Either do one row of stitching down the center or two lines down each side.

Bluelady

How about thread painting the wire?