You can find the name Alma in the bible (the old testament}. It is a word in Hebrew that means "a young women". In Israel it used to be a rare name for older people. Lately it became fashionable again, but it is still quite unique.
In Hebrew, the name "Alma" can mean two things, depending on the slightly different spelling: 1. World (it's actually an Aramaic word. Hebrew would be "olam"); 2. Young lady, a maiden.