For a couple of years there I was a member of the New South Wales branch of the Australian Lace Guild. Yes, there is such a thing! My interest in lace was sparked by my discovery of Irish crochet lace and quickly grew from there.
The fabric on the left is embroidered so as to remind me of reticella, an Italian needle-made lace dating from the 15th century. Reticella has "a characteristic geometric design of squares and circles with various arched or scalloped borders" (thank you Wikipedia). I have lots of books about lace including designs for reticella just like this - the white on black makes for a striking graphic in itself.
The fabric itself is a miniskirt from Fragile, a maternity and baby store for the, um, very well heeled. Yes, a maternity miniskirt (?!). I picked it up at Camberwell market a couple of weeks ago, not because I have any use for it myself, but because the fabric caught my eye. I'm thinking of a skirt for a slightly older baby bear, box pleated with the waist elasticised at the back.