They would probably benefit from a complete strip and refinish. They're not as bad as the lions on my old ball and claw foot bath tub. My father painted the outside of it every time he painted the bathroom. The heads on the feet were just peach colored puffy lumps when I had it professionally refinished. I'm still not sure what animal they are as they look like a cross between a lion and a ram. But at least they look like animals.
