Hi there, I'm a bit late to the party. There are a couple of types of copper/bronze tube beads that pop up in the Midwest, and some look alike items as well. I agree with Steve that it looks like a bead, but it could be a couple of different things.
Is there a seam? I see a line in the last picture, but curious to see if you can tell if was simply rolled/folded over or if it's soldered/welded? (Unfortunately the corrosion can "seal" the folds, so it might be hard to tell. A view down the "barrel" can sometimes show you more.) Here is a picture of some Adena copper beads. I zoomed in on one of the beads that shows the overlap.
Can you tell what the metal is? (Not sure if metal detectors can discriminate enough to ID metals.) The ancient (mostly Woodland and Mississippian, but some Archaic pieces as well) native made ones would be pure copper, or maybe even copper with a bit of silver. The round ones can be made pretty well with tight seams, but the tube beads are typically a bit more irregular and folded over leaving a bigger seam and some overlap in some areas (a bit like the point that GA Rebel posted.) There are a range of trade beads made by Europeans that range from finely crafted to pretty basic made from Copper, Silver, Bronze and Brass. They would go from the 1600's through the 1900's. And there are some native made examples cut from trade goods or trashed European items (cut from kettles, spittoons, cans, cups, etc.) West of the Mississippi a frequent trade good was simply sheets of copper, Natives could cut and roll it as they wanted.
Have you found any other Native American relics on this site? Context is a big one for a lot Native American metal items. Something like that found on a Woodland or Mississippian age prehistoric site, with little modern or historic garbage around would be a strong indicator that it's associated with the Native American site. Copper beads usually aren't random finds in the Midwest, people who have found them are typically hunting big, known sites or dug mounds back in the day. Finding something like that in a privy or bottle dump might be more indicative of a scrap piece of copper that happens to look like a bead. (The last picture is an old moonshine still in Kentucky, I'd bet the cave behind is/was a great prehistoric site.)
