And now the translation for Hősök Tere - the monument in Budapest used for the Hungarian course - makes sense!
hős = "hero", -ök = plural, tér = "square", -e = possessive
It is! - and it's not half so satisfying to well and truly understand why la Tour Eiffel means "the Eiffel Tower"! (Because, you know, half of it is just someone's name anyway and the other half is a cognate :P)
Now to learn why all the other Hungarian national monuments' names mean what they do...