It looks like you may have corkscrew fringe on the top of a couple of the hats I have the directions for that in a couple of books:
Using spn , CO 75 sts.
Row 1; K1f&b and K1(in each st., creating 3 sts out each one)
Row 2: BO
Use your fingers to twist each tassel int a corkscrew
Attach corkscrew fringe to the hat. (all basically the same as the KP scarf, just smaller )
I think this is probably the same pattern that is in the Nicky Epstein book to which the pattern refers you
The other books have a different type of fringe, used in garments in such a way as to not be able to be used on the hats