I've crocheted kerchiefs in the past, but I've not been entirely happy with them. I think a filet crochet (which I've never yet tried) kerchief has potential, but in the meantime I prefer the knitted one that I finished a few days ago to the crocheted ones.
Although when you get right down to it, I should probably just have fabric ones; I don't because I have trouble finding scarves I love that are the right size, because I haven't actually undertaken to sew any yet for no reason I can fathom, and because making something relatively practical out of all that yarn keeps seeming like a good idea.
Anyhoo, this knitted one is nice enough. It is easy to make, drapy, lightweight, and doesn't look too hokey (a highly subjective judgement, obviously).
Aunt Lydia's Fashion Crochet Thread (a size 3 cotton thread);
size 6 knitting needles (personally, I'd go a size bigger before I'd go a size smaller);
crochet hook or hooks (I used an E and an F, I think)
Cast on two (2) stitches.
Rows 1-2: Knit across.
Row 3-4: Knit across, increasing one stitch on each row by knitting into front and back.
Row 5: Knit one, yarn over, knit across.
Repeat Row 5 until kerchief is the size you want. Bind off, but do not cut yarn at the end.
Take crochet hook and chain about 50--more or less depending on size needed. Turn and in second ch from hook, slip stitch across chain. When you get to the body of the scarf, single crochet across the top of the kerchief. When you get to the other end, ch 50. Turn and begin slip stitching in second chain from hook. When you get back to the scarf, slip stitch and bind off. (Where the two crochet hooks come into it, is that you, like I, may prefer to use a smaller size hook on the ties and switch to one a size larger hook for the finishing on the body of the kerchief; this makes the ties a bit tighter-looking.)
OR, if you'd like a more finished edge, you could at that point single crochet down the side of the kerchief, do an extra couple of single crochets at the point, sc up the other side, and ss shut when you get back to the first tie.