All I can contribute is that the fish is a codfish (it has three dorsal fins). It looks like something that might have been an old trademark, possibly for something like cod liver oil.

Sure enough. I did a Google Image search on Cod liver oil and found this page showing a figurine for Scott's Emulsion (cod liver oil) from 1890. This was their trademark since 1886, according to the article there.

And it's still used as it's trademark today, as shown on this pharmacy site.