How were the Carolina Colonies named?

The Province of Carolina was named after King Charles I of England and his son, Charles II. Carolina derives from "Carolus," which is the Latin for Charles, and it was King Charles II who, in 1663, granted the royal charter establishing the Province of Carolina to a group of English noblemen called the Lords Proprietors as a reward for their help in restoring the monarchy.
An earlier settlement, known as Carolana, had been established over thirty years previously by Sir Robert Heath, an English judge and politician who'd been awarded a patent for the land by King Charles I. However, the claim of Heath's ancestors to the Carolinas was invalidated by Charles II, who wanted the new territory to be used as a strategic bulwark against Spanish territorial expansion.