Translation Question

Bagni Delfino = Dolphin baths
That is baths as in public baths, or spa. Probably the name of some former public baths nearby.

There is a restaurant in Sorrento by that name at the Marina Grande. They are at a beach (the baths) and looking out into the Bay of Naples they can see dolphins. Ergo the name they took.

There is also a restaurant with a very similar name up on the Ligurian coast, on the beach at Cecina. Same logic.

Thanks everyone. Nigel, I was actually referring to Delfino's in Sorrento when I posted my question. Your response makes total sense, of course. I was curious as to whether or not there was another explanation, but now it's clear.

Bagni is:
- the plural of bathroom, as in "how many bathrooms does an average house have in US?"
- the thing that you "make" when you are bathing, swimming in open water or taking a bath in the tub
- a spa, a seaside resort with a concession agreement to fence and sell services on a public beach.

The third meaning is a little outdated out of Emilia Romagna and Tuscany. I guess the first 2 originated by the latin word balneum.

Oddly enough, up to WWII a "Bagno Penale" was a "Penal Colony", but that one must be linked to the Venetian habit of forcing criminals to serve in the galleys.

In this case Bagno is a beach concession that rents umbrellas, chez, changing cabinets, and often has bar, restaurant and other amenities, like pools and tennis courts, on the premises.

Pictured below are examples of such concessions in Rimini, on the Adriatic Coast. Each of those concessions would be called BAGNO + NAME (Bagno Roberto, Bagno Nigel, Bagno Bello, Bagno Blu, etc). Bagni is the plural.
https://goo.gl/images/c8ara4

Once again, Roberto demonstrates why he's such a valuable member of this forum community. What a great resource! I've lost track of all the things I've learned from him, or I would add this to the list. Grazie un sacco, Roberto!

Roberto, thanks for that explanation. And thanks to all who replied.