I agree, a "how should we address you field" is ideal. I'd like to add though that in case you might have to call them at some point, maybe ask them for a transliteration too where applicable (eg Japanese).
This is especially important for the school environment because the same teacher might be "Joe Schmoe" to other teachers, and "Mr. Schmoe" to students. I also know of some women who married and changed their name, but still use their maiden name with students. Other teachers are casual with their students and have them use their first name. If they teach a Judo class at the school, they might want to be called something like "Sensei Joe".
At any rate, each use case for a person's name should be asked separately, and used verbatim -- without trying to break them up at all.