That's one of those tough things about archaeology...
We have lidded pitchers documented in the paintings of Vermeer. In The Milkmaid which is sometimes called The Kitchen Maid to the maid's right on the table is a blue, ceramic pitcher, with a lid. A pewter tankard was unearthed at Jamestown. BOTH document 17th Century lidded, handled, vessels for liquid, but for some reason a pot/kettle with a hinged lid and a handle... has yet to appear.
They had metal, ceramic, and wooden lids for pots/kettles, but so far what has been found was not attached. It seems rather straight forward to attach a lid with a hinge as well as in some cases having handle, or simply having making a short sided/straight sided tankard... that one could convert to camping use...
On the "historically safe" and less expensive side, I can make a wooden lid for my soldier's "can", if I think I need a lid. I can get a simple trade kettle and also make a lid... and I can get fancy if I wish and use a pot with a lid.
I don't see a need to have an item that was dedicated to "corn boiling" when it was made..., sometimes, after all, I may want lentils :wink:
LD