NO NO NO NO NO NO NO. Do NOT go with this company.
They say they are government affiliated, can they prove this? I doubt it. In fact i'd be willing to state that the government is not affiliated with them at all. They NEVER lose a claim? Such a bold statement to make.
The simple fact of the matter is that no one in the land can "wipe" the debt your girlfriend has. All they can do is make the debt unenforceable, which does not stop the credit companies issuing defaults against your credit file.
Anyway, making the debt unenforceable is something you can do yourself, for free, with the advice and templates on this forum.
Word to the wise, that process doesn't always work either, and ultimately it can be down to the decision of a single judge as to whether the debt is unenforceable as well.