In our country, in every state, every employer is an "at will" employer by default. The only way around that is to have a contract of employment, which is why I asked about whether or not you had one.
You don't, so your employment is "at will." That means that legally your employer can terminate your employment at any time, with or without cause. The cause doesn't even have to be accurate, it just can't be based on your race, religion, gender, age, disability or FMLA use. If the employer avoids those issues, the employer can legally terminate you, even for a false accusation of sexual harassment.
Now, the employer can't broadcast that false allegation as truth, because then the employer becomes subject to defamation claims. If they quietly terminate your employment, don't tell third parties about the issue (other than unemployment
, who is third party privileged to hear their basis for termination
) like prospective employers for you, then the employer can legally rely on a false accusation to terminate an "at will" employee.
So, your only recourse in that situation would be against the person that made the false accusation. I understand that you don't know who that is yet. What you should first do is file for unemployment. Force the employer to reveal exactly what was said by whom.
Then you'll be able to fight the issue to obtain your unemployment and you'll have the identity of your accuser so that you can bring your defamation of character lawsuit against that person.
If the employer chooses not to try and fight your unemployment, thereby not revealing the accuser, you can still sue a "Jane Doe" in state court and use the discovery process to force the employer, through subpoena, to reveal the source of the defamation.