We stopped at the water's edge. It's the same water I referenced in this question, although the reservoir is large, and we were quite a distance from that spot.
A lovely delicate-looking creature flew in and landed gently on the top of a broken twig of marsh grass, only a few inches from where we were standing. It had a narrow, stick-like orange and white body; a red head with large black eyes (which for some reason came out white in the photograph); four lacy orange/red wings edged in white; and very thin long gray legs. We stayed very still and it remained resting there for at least five minutes. Then another landed nearby and "ours" flew towards it, and they took off together.
From past experience, I assumed it was a dragonfly. However, for the first time, I recently heard of something called a damselfly. I thought that meant a female dragonfly, mostly because a damsel is a female. (According to Oxford and other dictionaries, a damsel is technically "a young unmarried woman" but that has no bearing on this question!) However, I've been told by a friend that, although they're in the same family, they're two different entities with similar, but unique, characteristics and behavior.
The first picture is the original taken by my husband. The others are the same picture, just cropped and zoomed in, so you can see more details, like the fur. As I said above, the white eyes in the picture were actually black. Unfortunately, we didn't get a side view, and you can only see the end of one wing, but I'm hoping there's enough to make a correct identification.
Is this a dragonfly or a damselfly? How can I tell? (Of course it's possible that it's neither, but I don't think that's the case.)