As Connie said, the flowers are of a true lily (Lilium) not a daylily (Hemerocallis), but the foliage and buds on the right of the picture belong to a separate plant which is a daylily. Daylilies are not a kind of lily despite the common name. There is a lily forum here on NGA so you may want to post the picture of your Lilium there:
Lily Forum:
https://garden.org/forums/view...
