My name is Lucina. The name has been in my family for many generations. We have always pronounced it Loo-sign-uh with the long I sound. Do not know if this was a pronunciation that came from a certain culture or not. My family emigrated to Canada from France many generations ago, then to the US.
This is my daughter's name, and we pronounce it "loo-see-na," although I think the "loo-chee-na" pronunciation is beautiful too. Lucina's nickname is Lula, and some of our relatives call her Lucie as well.