It's a scarf based on a pattern by Miss Lambert, one of the early writers of knitting books in the 1840s. This is from one of her books called My Knitting Book- this was an insertion, but I've modified it for a fabric of any width.
Pattern I'm using and what I intend to do:
Cast on a multiple of 9. (I'm doing my scarf on handspun wool that's somewhere between lace and fingering weight, and using 27 stitches, which gives me a width of 5.5 inches knit on size 3 US needles)
Row 1, slip first stitch, k across.
Row 2 (and all following rows)
sl 1 *(k2 yo k2tog p yo k2tog k p). Repeat from * across row; you will end on a k stitch.
When you've reached the length you like, do a final row of k across, then bind off.
Miss Lambert's original pattern, for a lacy insert would be knitted on fine needles, like a size 0 or 00 in crochet cotton. You would have cast on 9. Then the pattern is just one repeat: slip 1, k2 yo k2tog p yo k2tog k. Then turn, knitting for the length of lace you wanted. She recommended it to decorate muslin curtains and other household goods.
Pattern in plain unabreviated English:
Slip one stitch. Knit 2 stitches together. Yarn over . Knit two stitches together. Purl a stitch. Yarn over, knit 2 stitches together, knit one stitch, purl one stitch.