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I'm sorry to hear about your situation. There's not any "database" that you can check that would verify education and employment. If you had a resume, you could contact former employers to verify employment. Most of the time educational institutions would require a signed release to release a transcript. Now private detectives often use other methods (such as tracing residence, etc...) that would be consistent with employment at a certain employer or education at a certain place. I'll assume that you don't want to pay for a private detective to investigate this matter though. And in that regards, ***** ***** resume or application that indicates her education / employment record, there wouldn't be any way for you to verify this. It frankly would be up to the employer, who would have the discretion whether or not to investigate per the at will doctrine.
At-will employment means that without a contract, you have no contractual or other right to employment with the company. The company is entitled to fire you for any reason: a good reason, a poor reason, or no reason at all--as long as the company does not fire you for an illegal reason (race, gender, age, religion, etc...). But it extends beyond firing, to hiring, promotions, demotions, wage cuts and raises, disciplinary actions, and even scheduling. Unless you can show that this was done in violation of a contract, union agreement, or a clear violation of an unambiguous and binding clause against the employer, or that it was done because of some minority status (age, race, gender, religion, disability) that you have, then they do have this discretion. And they have the discretion whether or not to investigate, and even if it's true that she has no training, that she's outsourcing, etc... that is still up to the employer whether or not they're okay with it.
Hope that clears things up a bit. If you have any other questions, please let me know. If not, and you have not yet, please rate my answer AND press the "submit" button, if applicable. Please note that I don't get any credit for the time and effort that I spent on this answer unless and until you rate it positively (good or better). Thank you, ***** ***** luck to you!