What is a safari web site?when you perform a "add to homepage" , the icon gets created. Doesn't matter what website it's pointing to. Since safari is the only browser I've got, I have to figure that it's safari related.
Greygoose
The icon on your homepage represents the specific web page to which your browser was "pointed" when you saved the icon to your home screen. However, from the point of view of the OS, that icon represents the app that is used to access the web page. Thus, in the "multitasking" bar it displays the name of the browser, not the specific web page.
If you create multiple icons for different web pages, each will appear on your home screen. Touching each icon will open the broswer and point it to the specific web page associated with that icon. However, the multitasking bar will display only one icon, the browser, itself. If you tap it, it will open the last web page (i.e. icon) you accessed.
Unfortunately, in an effort to conceal the limited multitasking capabilities enabled by iOS, Apple has corrupted the term "multitasking." Technically, to accomplish what you're trying to do, iOS would have to "instantiate" multiple copies of a web browser (e.g. Safari) and associate each with a different web page. iOS does not support this. When you open safari it points either to the last configuration of web pages you had open when you closed it or to a specific web page you designate (via your "homemade" icon.) And when you close it, the multitasking bar's browser icon will now point at that web page.