Hi Tarev, enjoying your photos and the progress of your plants. I really like the photo documentary nature of it.
I did a little homework on names and it looks like the botanists have been at it. I'll use the Kew WCSPF as other sources agree with them in general. Here's what I've found.
http://apps.kew.org/wcsp/named...
Correct name:
Ismene × deflexa
A hybrid of I. longipetala × I. narcissiflora
Synonyms:
Hymenocallis × deflexa
Ismene × festalis
Hymenocallis × festalis