Cabbage of the 1700s.

Hello all! I'm trying to find more cabbage, being historically documented from the 1700s by colonists and Native Americans, cause I'm growing a true and authentic pioneer-tribal garden this year to reflect my community culture and history. My community had a lot of deep fur trader and tribal ties dating back to the fur trade and stuff like that. All I found were the German flat types from the 1850s or 1860s, but no French types or the British for that matter since they came in after 1763. Can somebody please help me find and identify which types of cabbage were being grown in the 1700s as recorded by Jacques Cartier and others when they set foot on the shores of North America? I hope my gardens will be edifying to others in my neighborhood. Take care!

While it doesn't offer exact varieties, this document does a good job of indicating the nature and shapes of different cabbages and when they first were found in different areas. It can offer a way to narrow down the options I imagine.

The Document

I'm looking for more earlier ones being brought in by the French from the 1670s to 1763 in America and anybody know anybody growing these kinds of cabbage today as brought in from their French ancestors?