Just a small point of edification here. In almost all cases, the stub, or "business end" of these watch winders were made of iron. Compared to brass, iron held up without being warped or reamed out in the process of winding the watch day after day for years. These small, thin iron pieces were affected by the elements and ground action, and so seldom survive. You may see a little rust spot on the brass at the end of the larger of the two nubs.
Best Wishes,
Buckles