Assuming that a trademark qualifies for protection, rights to a trademark can be acquired in one of two ways: (1) by being the first to use the mark in commerce; or (2) by being the first to register the mark with the U.S. Patent and Trademark Office ("PTO"). - From Overview of Trademark Law
If her unregistered use of the name predates their registry, they should lose their suit. Note that I did not say that they should have to pay whatever she deems fit - only that they should lose their suit.
And then Ms. White asked for a $10 million shakedown.