I'm not sure if that many people know the myth of
Lilith in the first place. Most people probably think it's some form if
Lily and
Lillian. So, I don't think a girl called
Lilith would be teased at school or anything.
I find that
Lilith, the mythological character, is actually considered somewhat cool in modern days. At least I know more people who associate it to a strong, independent woman instead of something negative, controversial as she is.