Theresa - I don't know anything about thrips. (Will look that up!) Thanks for suggesting it as a possibility.
I was wondering if it was some kind of daylily virus that causes that to happen on the daylily blooms, but I don't know. Could it just be a particular color pattern. Both plants in the photos above have red blooms. (Though one has more yellow in the petals.) Or could it be coloration before the bloom colors stabilize. This is the first year both of those daylilies bloomed. Doesn't it take 3 years for the color and pattern on the blooms to come true?