Ski hat, snow hat, winter hat, and wool hat were all used in my hometown (rural northern Illinois). It’s never a cap; caps have a brim.
I’ve since learned the word tuque, and it’s my preferred term now since it’s specific.
I call it a wool hat, but I think that’s just me.
I must admit, I’ve never heard of a tuque. We’ve always called them stocking caps . . . but if there’s a little ball on top it becomes a tossle cap. I’m sure it started out as “tassel,” but by the time I heard it, it had become “tossle.”
Exactly. And if it’s a motorcycle helmet, it’s a crash toque. 
I voted other- as a kids in western Ohio, we called the “sipple(sp?) caps”. I don’t live in that area anymore and have’t heard the term in decades.
Where I grew up, in the deep north, across the border from a very French section of Canada, they were referred to as ‘bonnets.’
Y’all might enjoy How do you spell “toque”? from 11-08-2003, 11:13 AM through 11-09-2003, 03:55 PM
No, it’s me too. I voted wooly hat, because that was the closest thing.
But to me a wool hat (which doesn’t have to be made out of wool) ends at the top of my head, whether there’s a little ball up there or not. Anything longer is a stocking hat. And if it has eye and mouth holes it’s a ski mask.
My first husband shortens a lot of words. He calls it a “boggin”.