I found these at a mid 1800's homesite.one looks like a knob,the other looks like a big button IDK though that's why Im here lol
I believe the other is a suspender clip/adjuster just would like a second opinion.
I agree with Duggap, the second one kinda looks like a squashed Tompion. If it wasn't squashed I'd ask for diameter measurements to see if it is weapon bore size.