It's like
Lilia.
Basically the story goes that my SIL was determined to name her first daughter
Lilia. My brother thinks that the name
Lili sounds like that of an old crotchety house maid and so they had to compromise. What resulted was the same name, but a spelling that encourages the nick name
Leah and not
Lili. (or so my brother feels and that's all that mattered to my SIL, as long as she could use the name)