Do you have your business name trademarked? If asking her leads to no results you could always approach Google and Twitter claiming trademark violations.

Of course, since she isn't using those accounts to compete with your business or cause consumers confusion in the marketplace, then her right to those accounts is probably perfectly legitimate.

However, companies such as Google, often side with large companies on such claims, regardless of legal correctness in such claims.

One example is Adobe training. Plenty of companies offer training on Adobe products; some the certified Adobe curriculum and others created their own courses. If you're running an Ad for training on Adobe products, it should be perfect legitimate to use the name of the product in your ad, or to buy ads on searches for the product. But, Adobe reached some agreement w/ Google to prevent people from using Adobe Trademarks in Google Adwords. I heard quite a few complaints from colleagues in the Adobe community about how their ads were being denied. How does one sell Photoshop training without mentioning the product?

So, basically, if you throw around some muscle and you'll probably get results.

Twitter trademark policy: http://help.twitter.com/forums/26257/entries/18367 For YouTube, I would review the copyright infringement guidelines [I couldn't find any trademark policies on YouTube]: http://www.youtube.com/t/dmca_policy

But, iF you really want to go that route, be prepared for some bad press for bullying a little girl.

What are you talking about? Just ask her. Sounds confusing.