The baler that usually pops up web searching for “cotton screw” however is a very early period draw mill and usually not human powered.

One long bar is a “draw.”

An opposing pair of draws is a “sweep.” Mentioned in wind mills, naval science & rowing as well.

Use a horse, ox, donkey, camel, what have you and it's a “draft" mill.

Draft mill works can be seen on plantation sugar mills and are probably on the walls of some Pharoah's tomb.