Modern chain is mild steel, and many times has a easily seen welded seam.
View attachment 1504776
Hand forged chains generally/usually have an overlap where the chain is hand forged and forge welded together.
View attachment 1504779
This chain has the overlap, but needs to be heated white hot and tapped together into a weld.
while the chain below has been heated and welded. The lone, open link, has flux on it and is ready to weld.
View attachment 1504780
Your chain looks to me like it's wrought iron, because I can see some grain in some of your pictures. Wrought iron would place it to possibly in the 1800's. Wrought iron is generally not manufactured any longer, and hasn't been for a long time. Everything seems to be mild steel now. I remember about 70 years ago, nails and re-bar were wrought iron. I know this because wrought iron can't be worked cold, and I would try to make a knife from a nail or re-bar, and the grains would separate. I didn't know why at the time. Anyhow, here is a link that will tell you about wrought iron in more detail than I'm willing to write. It's very interesting and sure helps date what you might find.
https://www.realwroughtiron.com/about-wrought-iron/what-is-wrought-iron/