Yeah, the whole issue of the nationality of people who lived way before modern-day countries and their current borders existed is an odd one.
I lived in Trieste for a year, which was part of the Austro-Hungarian empire for all its golden age, when all the grand buildings now standing were erected, but is now in Italy, with a large Slovene population and identity as well. The only sign of the Austrians is in the sausage and sauerkraut restaurants, and it would be hard to identify anything as being associated with Hungary.
I wrote a piece about national claims to historical figures a while back, thinking about Boadicea, who is seen as supremely 'British', despite no such thing even vaguely resembling today's 'Britain' existing as a concept back in her day.