1. It looks very Hebrew. Or like a Biblical town2. Aww-duh. 3. I thought Ada was said with a short A. I don't think so4. I prefer Adah now that I know how Ada is said
I think Ada can be pronounced with a short A (like the a in cat) if it's short for something like Adelaide or Adele, but as a full name by itself it's like AY-da. And maybe it becomes AY-da as a nickname sometimes too, not sure.