Lace Shoulder Covers. Shrugs?

Let's see now. I know this is lace. I would go out on a limb and suggest it is crochet. I can tell you it is old. It belonged to my grandmother at the very least. Most of her stuff dated to the early 1900's.
These garments puzzled me. After all, the one barely covers the shoulders and the other only a bit more. It was explained to me that it was impolite for a woman of old to bare her shoulders. This was a way around it. What is this called? The closest I could find was a "shrug". Are these shrugs? It's as good a name as any, but it's so nice to be sure.