The box in the link and your box are two different boxes, not the same box. The only similarity is the TC and Sn, Ltd.
Your box does have the same mark of TC and Sn Ltd (Thomas Callow and Sons) of London, England.
The next mark is the import mark which does not denote a country, simply that the items is an
import, the second mark is 925, the assay mark for sterling silver, the third mark is illegible but could
be a date mark and I have estimated a range of 1925 to 1936. A K is the date code for 1925 and for 1885 depending on the shape around the letter, but I would need a better photo because it is not readable in that one photo. The lighter stamped number of 935 is a part/shape number and is not significant. These boxes are called 'continental ' because there is not a country of import within the marks, so the term covers the continent of Europe. These boxes most certainly could be French, Italian, etc and this term of continental covers those countries.
While these boxes were in high regard in 2009, the values are not the same as they once were. I attend four auctions per month and have
seen many of these over the years, so I have a good pulse on the value of one today, some seven years later. I would
be firm in my estimate of $300 to $400 as a value.
I do hope that explains your snuff box with more clarity in comparison to one you found on the internet.