I decided to solder the tops together and make a pendant out of them. With the texture and reticulation, it might not solder well, but the planets must have been aligned correctly because the soldering took hold on the first try.
You can see they are now one piece. I should have photographed them as earrings, but you can kind get the idea.
You can see the patina brings out the texture and provides a bit more contrast. This is much better, and I will actually wear it now.
Here is a view from the back where you can see the small holes where they were once individual earrings. Notice the holes are not centered. Their placement balances the weight so they hang evenly.