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I'm very sorry to hear about your situation. Legally speaking, yes, an employer can fire over hearsay such as this. You see, Georgia is an "at will" employment state. 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.
As such, there wouldn't be a case for illegal termination as this was not illegal. Immoral, unethical, illogical, certainly. But not illegal. And because it's not illegal, you wouldn't have a case for lost wages. Now you should still qualify for unemployment as it was nothing that you did that caused this, but nothing that would compel them to give you job back or the wages that you lost. If they do so anyway, that would be out of no legal duty to do so.
I know this is probably not what you wanted to hear, but it is the law. I hope that clears things up anyway. 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!