I've always loved
Leah as a name. Its beautiful, classic and has a sweet airiness to it. It can go from a baby to kid to adult to old woman and never feel out of place.
Emilia can do those things too, but its a bit heavier compared to the lightness of
Leah and its more trendy at the moment which depending on how you feel can either be a good thing or a bad thing.
I would choose
Leah personally, but both are pretty names.