Look like Shasta Daisy to me. If so, I had them and some would droop like that.

I have the Pow Wow wild berry, and they were also drooping. However, we had heavy rain last night, and the coneflowers look great today. They are planted in full sun, and I think they just need more water there. This is my first year with them. Normally, the regular coneflowers are pretty tough.

This is a not uncommon ailment with coneflowers and it is the result of uneven watering or the soil drying excessively during the day due to heat. A good thick mulch around the plants to slow soil moisture evaporation would help.

Lots of rain here and some of mine have started getting droopy and sad-looking.

It's not a Shasta Daisy, Gracie. It's an Echinaceae cultivar that just happens to have similar white petals and a yellow centre. If you look at your Shastas you'll see they do not have foliage up the bloom stalks, amongst other differences.