The background appears to be black, where the print is teal on top.
You could get fairly close with a damask.
Many of the fabrics on the show were 3D printed to emulate the period, as they ran out of actual vintage fabric to use for certain characters. A few of the Clementine's I've seen have resorted to Spoonflower and recreated the patterns in photoshop. It's definitely an option if you're not satisfied with the fabric options out there.
I'd also suggest if you want to go with the lace over a background fabric, finding a white lace you can dye to this hue of blue-green and layer it over a black satin fabric to have the same effect.