@Stuart ********
Probably depends on the situation. I think for most purposes, it's good enough to mention their nationality as it relates to a particular country.
My children hold 4 passports, one of which is Thai. When it comes to Thai affairs, they're just Thai. I don't tell anyone about their other nationalities except if some curious person asks.
For the purposes of bureaucracy, in Australia, a Thai/Australian dual citizen is simply Australian. In America, they're simply American.
If you want to, you could refer to them as Thai/British or Thai/Australian or Thai/American (whatever applies) but for the most part, it's not information that is particularly relevant or necessary for most purposes unless it's some kind of school ancestry project.