The name on the cup is Anna=Lore. It could be a family ancestor, in which case it could come from North Eastern Germany , Silesia or East Prussia.
If it was Silesia though, that would probably be dated 1900 or so, and possibly anywhere near Zabrze. If it was earlier than 1840 though, I would be uncertain of its possible origin.
Marked on the bottom, are some roughly small scratched numbers about 3mm high. They may of course have nothing to do with the piece
![Image](https://www.925-1000.com/pics/Ximg.jpg)