Does anyone recognize the brand of the faucet in the image below, so that I can attempt to disassemble and inspect parts? Secondly, the right-hand handle sticks; is hard to turn off completely, and leaves water leaking from the spout. Any advice on how to fix this problem?
It looks much like this one--wow ... not cheap--found by doing a web image search for "antique brass faucet".
This is the install document. Item 16 is a setscrew that you loosen so that you can remove the handle, and expose the cartridge assembly. Then I guess that you would loosen a retaining ring and pull up on the cartridge assembly.
Do not forget to shut off the water before doing this.
Here is the manufacturer. You could email them.