Also spelled Ines, this name of the prudish mother of Don Juan in the Byron poem has a touch of mystery, but has also been fully integrated into the American name pool.
Inez Milholland and Inez Hayes Irwin were both important figures in the American suffragist movement. And Inez was the name of the character played by Rachel McAdams in Midnight in Paris.
Other spellings variations of Inez: Ines, Ynes and Ynez. A Russian version is Inessa.