Yes......mission accomplished......managed to get both pieces. Very very long day, just got in so will take photos tomorrow and post.......including macro pictures of the flowers!
In case any Hungarian speakers are about......the letters run around it in this order, but I don't know which one is supposed to be the first one (? Denotes one character that I cannot decipher, which is shown upside down on the right of the third picture)
EMLEKÜL?
Sue, I think you're right about it not being opaline. When I hold it up to the halogen light in the cooker hood, the entire piece is white. As I move it away from the light the foot turns that pale bluey grey. The inside is semi matt and feels slightly odd.....not exactly rough......could it have been sprayed white inside the bowl? Does that help in figuring out whether or not it is alabasterglas?
Could it be Biedermeier? 🙀