The name Azure is a girl's name of French origin. Azure and is often added to lists like Color Names for Babies and discussed in our forums with posts like "Quick Question Thread?!".
From the experts:
Azure is a colorful choice for a blue-eyed child. Among other blue-toned color name possibilities: Indigo, Cerulean, and Blue itself.
In the Middle Ages, azure was another name for lapis lazuli, the gemstone used to make the brilliant pigment seen in much medieval art.