China cigarette keeper and ashtrays

http://www.porcelainmarksandmore.com/0repro/00.php

While I cannot speak specifically to your piece it is one of those items that needs better photographs and a more knowledgeable opine. My suggestion is to get the pieces outdoors on a cloudy day at noon and get as high resolution as possible photo.

Make at least a $5.00 donation to Chris at http://www.porcelainmarksandmore.com/ and see what it really is!

It "could be" valuable if identified correctly.

The " Crossed Arrow" marks were used by a number of lesser known companies in France and Germany prior to World War One. Most of these companies were producing fine decorative porcelain for the export market, mainly to the USA. Pieces made after 1891 generally have country of origin marks such as "Germany", "France", "Italy" etc. a result of the American McKinley Tariff Act. The crossed arrow marks were an attempt to copy the well known "Crossed Sword" mark used by the world famous porcelain maker "Meissen". Meissen forced companies to cease and desist using such marks by law suites during the late 19th Century.

The Crossed Arrow mark along with four numbers and letter or four number combinations was also used by the Arnart company,who imported decorative porcelain from all over Europe and Japan after World War Two. Arnart used paper and foil labels on their pieces, which were often removed after sale, making them appear to be European late 19th Century examples because of the lack of "country of origin" marks. Based on your images and the description of the marking your set is most likely an Arnart example, but better images are required positively identify what you have.

Lovejoy