Ruth, I would put the doily and the backing in an embroidery hoop to hold them tight, then hand stitch to anchor them on. When it comes to quilting, I think if you out line each one would look best.
Maybe you could use embellishments to attach the doilies all the way through instead of quilting them? Beads or buttons or some kind of interesting item tied on?
And if you put sashing between them you can arrange them so that it looks like a charm quilt.
Just some ideas... :lol: