To my eye, the style of your embroidered blocks (which are very nicely done) does not best blend with batiks, which are very nice too. Two nice folks who can be friends but getting married would be a mistake, you know?
You mention your daughter's tastes run to earth tones -- so probably she would prefer a look that's not primary brights. But what about a very fresh, sophisticated gray fabric? That would really set off the blocks as the star of the show, but also hit the modern/classic note. Or if her home is all about browns and beige, you could pick up on those shades with a sashing that again, lets the blocks be the focus.
RST