Appolonia Is A Greek Girl’s Name, Meaning “belonging To Apollo.” Apollo Was One Of The Most Important Gods In Greek And Roman Mythology, Representing Music, Poetry, Medicine, And The Sun. He Was Considered To Be The Ideal Of Masculine Beauty. Appolonia Is Also The Name Of The Patron Saint Of Teeth, And Of An Ancient Greek Village In Modern-day Albania. Sunny Baby Appolonia Is Sure To Be All Smiles When They See How Much Love And Care You Put Into Choosing Their Name.