Lily/Companion

Trait
Mad Mage: Summoning, Magic Science, and Tentacle skills deal +15% damage.

Side notes
All these status are without any equipment or abilities equiped. She starts with: All of this equipment makes her final starting stats be:

Character Side Quest
Lily has a sidequest on the pocket monster castle after you recruit her, but unlike her sister she gains benefits for herself when completed.

First Step: She'll ask to visit Luditte Village again after she hears that there is some women being mistreated over there.

Second Step: Since you can only get to this quest after you've witnessed the second part of Sara's Side Quest, just enter into every house and witness some untranslated (in patch 1.21.30) dialogue with Lily, Sonya and Luka. Eventually Lily will get satisfied and the quest will be completed.

What you get from doing this: Lily will gain an extra Ability named Heavy Magic, that makes all the skills have the double of their original MP Cost, but she'll gain +50% Magic. It's the opposite of Light Magic.