1) It is not a hat or socks. 2) It is knit in the round. 3) It is an accessory. 4) It is inspired by a garment that my favorite character on the show wears frequently. 5) This character has quite a feisty and opinionated personality. :)It's got to be a cowl. I do not like cowls. I have no use for them.
I will use my Downton yarn to make a hat. I like hats.
ETA: I was right about the character (Lady Violet) and wrong about the pattern. It is lacy fingerless gloves. I'm glad I started a hat.