Is there a mark on the bottom of the cup or saucer? Please use the Add Files feature on your screen to add pictures of any marks.
This is a German circa 1890-1910 footed demitasse cup and
saucer in cobalt with transfer rose decoration and applied gold filigree.
The German pieces from this time period were rarely marked with maker or country
and commonly had just a number denoting the paint scheme or shape, an inner factory
I realize this does not match your family story at all,
but I am pledged to be honest.
The value of this cup and saucer is $30USD or 39AUD.
It is important for you to click the stars after you have read this answer.
Understood, from the photos it looked like a smaller size. That is simply the disadvantage of not seeing it in person
to have a size reference.
All other details would remain the same and the price would be the same as well.
I can guarantee that this is a German piece and not a Scottish or English piece from the 1870's. This type of
filigree application and transfer was not yet being used in this manner until 20 years later.
Please do click the stars after you have read this answer.