Why is it called a "Web" Site?

I have been studying computer science, it's a very new topic to me so I'm stumbling around here and there trying to fully understand it.

So from what I understand it works like this:

A group of computer systems working together, following a set of rule (a protocol), is known as a network.

There is a global network of computer networks, known as the internet (international network), which is the largest network in this world, that the majority of people connect to in order to access data (can range from Emails, to Social media, to Educational material, to entertainment).

Data is stored by the administrator of the network (i.e. Mark Zuckeberg stores all of FaceBook's data) in a database storage server. Which different computer systems can access provided they have connection to that database storage server and the protocol permits access.

The World Wide Web, aka The Web, is simply the format for which all of the massive Networks, IXPs, are connected to each other via core routers (aka Internet backbone?).

From what I understood, the Web doesn't really store anything, it's simply the format for data transferring from network to network through the internet via routers. The actual location of the accessed data are the servers.

Why is it called a Website then? And not a DB Server Site? Or even Internet Site? Am I misunderstanding something? That's like instead of asking for someone's address you ask for their highway.