Thank you soooo much everybody for your comments. I'm still running around with a silly grin on my face.
Ritzy, Rosemary is right (she always is). That fascinator is on a round 'thingy' that you stick on your head. I have very straight and fine hair. Hairgrips or combs won't stay in, but this thing does - even in the wind. You can see how it works on the picture. A lot of fascinators don't have that 'flying saucer' base, and are just an assortment of fancy ribbons, feathers, and other bits. I really like this one because it's a lot more like a hat, but not as large and 'heavy'.