Rosemary, those are the cutest hats! Your advice is really great. I have worked with silk extensively back in my wedding clothes design days. Here is what I learned about working with it: Silk is washable for the most part, but don't ever wash the heavier brocades--those you can steam to take care of any shrinkage (it's usually very minimal for silk anyway). When you steam it, hold the iron just above the fabric and let the steam penetrate it, leaving it flat on the ironing surface to fully dry before moving it..don't press it flat with the iron. You can touch the iron to dupioni and silk broadcloths though.
Also, silk colors tend to run more than other fabrics, so wash colors separately. GENTLY hand wash silk in cold or lukewarm water and flat air dry on a towel covered flat area for best results. That jersey fusible interfacing makes a really nice underlining for delicate, lighter fabrics, but sometimes fusing it makes it change its hand or look too much, so underlining with a light cotton batiste (which is also prewashed) is better...it depends..do a test. It sounds a little fussy, but what would you expect from the queen and prima donna of fabrics.
That said, I LOVE silk and working on silk. It sews so well and responds so nicely and looks fantastic and truly lasts and lasts.