I think 1st one could be doorbell, I thought bicyle bell and brass not copper. The protrusion inside puzzles me though, couldn't find a matching image...
Is that a horse or mule's head inside a wreath I see on it?
Second I think drawer pull...
I think the bell I posted is a match. Can you see it?It's obvious that the protrusion is what held it in place on the body if the bell , if not what else would it be ? I've unscrewed bells like this before and the mount either goes through the the bell or is attached inside like this one was . IMHO , Woodstock
UK Finds Database - - - UKDFDYeap bell.
The second is a type of 19th C horse harness strap guide.