If you have a list of names of daylilies you have bought, we might be able to match it up.
Otherwise, it is my opinion that you can never be sure what the name is. With over 70,000 named ones out there, and many, many that look alike - there is no way to be sure what the name is. Then, throw in the thousands of unnamed seedlings that hybridizers give away or sell from their gardens each year that never did have a name. Giving a "No ID" a name, or guessing it is a given cultivar only muddies the waters if you ever give a piece of the plant to anyone else.
When I get a plant from someone, I want to know it is the correct plant, not that they guessed what it was, or the person they got it from guesses what it was.
So if you have the names you originally planted, we might be successful at figuring out what you have. If you don't have the list, we can guess - but remember, there are lots of daylilies that look alike, so it there is no way to know for sure.