Gorgeous name, but why the nickname? Either call her Lola, or stick to Louisa, or Lou for short. Nicknames that are so different to the original, or stand alone in their own right, just gets confusing, imho.
I want something serious on the birth certificate, Areyoumad. I like Lola but I don't think it passes the High Court judge test. And I like Louisa - I envision using the two interchangeably, just Lola more in family situations and Louisa more in formal situations.