Have you tried ironing on both sides of the fabric. I have found that sometimes that if I iron the wrong side it gets out those pesky wrinkles. Worth a try.

I'm still looking for the iron that will take creases out as well as it puts them in! I had a Reliable that was better than others I've used, but the iron stopped heating, and even after sending it to Canada for repair, it still won't work. Good luck!

I worked in a cleaners in high school. I learned how to use the big steam presses. I got spoiled.

I have been through quite a few irons. I remember my mother's first steam iron. It sat on the ironing board and puffed out steam every minute or so. That was on the East Coast where we had a lot of humidity.

Moved to a drier climate and never could get enough steam to suit me. Gave a friend a Rowenta to try. I said it didn't steam, she says it does. I've tried the steam generators - the Rowentas spit, the Reliable doesn't. Even a full blast of steam won't move some of this wrinkle residue. While it's mostly cottons - I've had some permapress fabric keep the residue of a wrinkle. Permapressed muslin does that. I like the stuff. I've made heirloom shirts with it. You need fabric perfectly flat to do lace insertion.

What you have ironed feels hot, but a blast of steam should feel a tad damp.

Just what I was going to suggest! It has worked for me!