There are multiple origins and meanings for the hugely popular name Olivia:
1. Derived from the ancient Greek adjective ὄλβια [ólvia] etymology (definition) - "happily, richly", meaning - "prosperous; happy; blissful"
2. Italian name, comes from the Latin word oliva meaning - "olive".
The name first mentioned by William Shakespeare at comedy "Twelfth Night, or What You Will". One of the most popular names in English-speaking countries.