Janie, Jani, Jan.
Famous people named Jane:
Actresses Jayne Mansfield, Jane Seymour, and Jane Krakowski; actress and fitness guru Jane Fonda; author Jane Austen; fictional Jane Eyre; Nobel Peace Prize winner Jane Addams; anthropologist (and friend of chimps) Jane Goodall.
Jane became popular in the mid-16th century when it was used for daughters of aristocrats as an alternative to the more commonplace name Joan. So, if your daughter is acting a bit hoity-toity, you can blame it on her name.