Question re: life before the Surname Law

I'm working on a book that involves someone who owns a generational antique shop in Istanbul. It takes place in the 19th century, and I'm struggling with what to call it that reflects familial nature of the store. I know in some western countries shops like this would call themselves "[Surname] & Son" but as the Surname Law didn't take effect until the 20th century, what would be the equivalent in Turkey?