What is the wonderland called in Alice in Wonderland?

The wonderland in Alice in Wonderland is called Wonderland.

So she sat on, with closed eyes, and half believed herself in Wonderland, though she knew she had but to open them again, and all would change to dull reality--

However, Tim Burton's 2010 movie changes the place name to Underland, which Alice mistakenly believes to be called Wonderland.