Cotton sateen would be a good substitute. You might see a reference to glazed Cotton in that old vogue book. I'm surprised polished Cotton isn't there, it's an old fabric type.
It is heavier than all but high end quilting Cotton. It's mostly used in home decor as washing it removes the polish. It's made by calendaring, which is putting it through 2 steel rollers or by putting a finish on it.
Garments need to be dry cleaned to preserve the finish. If you wash real polished Cotton you will weep. It also shrinks!
A few years ago at a yard sale my BFF found a roll of hand screen printed polished Cotton. It was a Japanese inspired large scale floral in olives, russet colors, inky black on an off white ground. Gorgeous fabric. The lady gave it to her. She shared with me. I washed some of it.
It was still lovely but no where near as beautiful. I was just petting it a few days ago.