Ahhh, how cool! Thank you so much for your reply, time and expertise.
I thought "Ekaterina" wasn't quite right because it looked like an "H" at the end, not an "A" but I would never have figured out that it was Ekaterini. My brain was too focused on eastern Europe, although I also thought the second name ended in "ou" (based on the Cyrillic chart I was looking at). Which got me confused since it's not a Slavic ending. But you are right, it is very much a Greek and Cypriot surname ending.
Do you think that the lettering could be Pontic Greek, using Cyrillic?
I knew this bracelet was unusual - I don't have anything like it - but this is even more interesting than I thought. I won it at an auction and from the moment I saw it I just loved it. It's more beautiful and finely-made than my crummy photos of it suggest. But there was very little information about its provenance, other than that it was late 19th - early 20th, with unknown hallmarks and a name in Cyrillic. I'm thinking that because of the niello, it's probably 19th C but not sure.
I wonder which area might have had stags (or celebrated the stag), that it was used as a hallmark.
About the name: I don't know if you can see it in the photo, but after "Ekaterini" there is a dot, and then an A, and then another dot. Then the next letter, which I think is the first letter of the surname, is an "S" I believe. Maybe the "A" is a middle initial, because of the dots. I thought the surname was S-O-G-K-O-U based on the chart I was looking at but not sure about the "G".
I will add a couple of new photos which do the bracelet a little more justice and maybe offer a little more clarity.
Thanks very much again for your reply and help. I really appreciate it.
Regards
