How do you normalize a name? Not all names have the same structure. Not all countries or cultures use the same rules for names. A first name is not necessarily just a first name. People have variable numbers of names. Some countries don't have the simple pair of firstname/lastname. What if my first name just so happens to be your last name, should they be considered the same in your database? If not, then you get into the problem that last name might mean different things in different countries. In most countries I know of, it is a family name. Your last name is the same as at least one of your parents' last name. On Iceland, it is your father's first name, followed by "son" or "daughter". So the same last name will mean completely different things depending on whether you encounter it in Iceland and the US.
In some cultures it is common when getting married, for the woman to take her husband's last name. In other cultures, that's completely optional, or might even work the opposite way.
How can you normalize this? What information would it gain you? If you find someone in your database who has "Smith" as the last word making up their name, what does that tell you? It might not be their family name. It might only be part of the family name. It might be an honorary in some language, but which according to their culture, should be considered part of the name.
You can only normalize data if it follows a common structure.