Yep, you've got it. Nom is the Latin root for "name" and the N-vowel-M form lends it to basically every Western European language (Nom in French, Nome in Italian, Nombre in Spanish, Namn in Swedish, etc.)

A villa is an upscale country house, usually in the Mediterranean or S America. Together they mean "a high class naming house", which is the brand we're trying to convey.