I'm starting the JP Ryan Half-Boned Stays pattern, and I'm wondering what appropriate linen canvas is like for the period. Is it just a heavy-weight plain weave linen? Or is there something more particular I should look for?

I found 2 different options, but they seem very different from each other and I'm unsure in which direction to go. Any help would be great!
www.bblackandsons.com/french-collar-canvas-p-310.html
www.fabrics-store.com/first.php?goto=big...&menu=f&fabric_id=14