Two objects found close together ?

[CoilyGirl]

I see the round object has a modern day looking screw so I'm stumped as to age. Looks almost like a watch part to me and has the number 1 on it. The other object I'm just scratching my head as usual. Any guesses on either of these? They both look like either brass or copper.

 

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[Lafitte Deux]

The top one looks like an old faucet knob.

 

[jewelerguy]

need something like a coin or a pop can pictured with them to give an idea of the size

 

[CoilyGirl]

The round thing was about the size of a half dollar at best. I'm guessing it could be just a watch part. The other object is about 3 inches long.