Business naming and named businesses

[Lothia]

In researching and writing my novel I have stumbled upon a problem I have not found an answer for :roll:

I have read that so-and-so owned such-and-such business, but I have (or I don’t recall) never seen a name attached with businesses other than some shops, such as an inn named the Golden Donkey.

But how about larger businesses, say a fish-sauce factory. Would it be known only as Senator Cicero’s Fish-Sauce Factory, or would (could) these businesses have creative names, such as Cicero’s finger-licking Fish-Sauce?

Where would I look for more information on this?

Thanks again. Your collective Brain-Pool is a great resource. I thank you guys for your help..

Me.