What do you think of Lively as a name?
I think it’s lovely! I considered it for a middle name as it’s a family surname, but I decided to do something else with it instead. Anyway, it’s beautiful, sweet and well, lively.
Agree, it’s a very sweet…middle. You know, I am all for unusual but not so speaking. Like what if she ends up being a shy, timid bookworm who is afraid of sport and taking to others like plague. And somebody may suppose you are a crazy Gossip Girl fun. 
It’s like naming a boy [name_m]Wilder[/name_m]: so fun and lovely you’d better do it for middle.
But, a big plus: you can call her [name_f]Livy[/name_f]. Or [name_f]Eve[/name_f].