You might find this article from the AHS Daylily Journal on daylily seed stratification of interest - stratification is sometimes misunderstood to mean they are left in the fridge until germination but that's not what is really intended. The damp paper towel, or damp vermiculite or whatever is used allows the seeds to take up some water, which is necessary for the chilling in the fridge to break any seed dormancy (refrigerating internally dry seeds doesn't do that). Then after roughly four weeks the seeds are taken out of the fridge and germinated at room temperature. The idea is to simulate winter (fridge) followed by spring (room temperature). Some may germinate while still in the fridge likely because either they only needed a short period of chilling or they didn't have seed dormancy to start with. With some daylily seeds stratification appears to be more effective than the alternative peroxide soak (for which you do not need to shake the seeds BTW but you are right to keep them out of the sun, it doesn't need to be dark though).
Daylily Journal article on seed stratification:
http://www.ctdaylily.com/files...
