In Gaelic (especially Scottish Gaelic), the name Clare means "plain" or "bright." It is derived from the Gaelic word "clar," which means "clear" or "bright." The name Clare is often used as a feminine form of the masculine name Clarence, which also means "bright" or "famous."
In French, the name Claire is derived from the Latin word "clarus," which means "bright," "clear," or "famous." The French name Claire is often used as a feminine form of the masculine name Clair.
In English, the name Clare is sometimes used as a short form of the name Clarissa, which is derived from the Latin word "clarus" as well. The name Clarissa means "bright" or "famous."
In conclusion, the name Clare (or Claire) in Gaelic means "plain" or "bright," while in French and English it is derived from the Latin word "clarus" and means "bright," "clear," or "famous."