The name Dominica is a girl's name of Spanish, Italian origin meaning "belonging to the Lord". Dominica and is often added to lists like Cool Girl Names from Ancient Cultures and discussed in our forums with posts like "New: Movie Title Family Name Game!".
From the experts:
Fashionably Continental and much fresher than Dominique, though it's been used since the Middle Ages. Dominica can be spelled any number of ways, from Dominika to Domenica, but we prefer this version.
Hipper cousin Domino was a Bond Girl, a character played by Keira Knightley, and the name chosen for her daughter by British designer India Hicks. Dominy is an interesting unisex spin.