More facts are needed to provide guidance to you in this matter. But generally, if there's a reason to attach assets (including an inheritance) pre-judgment that a court deems worthy of such action, then yes, your inheritance could be at risk. A settlement agreement may also provide for some mechanism to obtain part of your inheritance.
You will need an attorney to discuss your defenses to the suit and other steps to be taken to protect your interests - and you need such a person immediately. There are many good attorneys here on AVVO, and the Wyoming Bar Association has a great referral service.
The foregoing is not legal advice nor is it in any manner whatsoever meant to create or impute an attorney/client relationship.
Your employer may sue you. However, it seems unlikely that you would be held liable. I can only guess that your employer is saying that you promised more than they authorized you to promise and that you exceeded your authority. I have no idea what you promised, but as I understand it, your employer failed to pay the other employees. Certainly, they were entitled to be paid. Having paid nothing, it is hard to conceive that your employer can establish that you overpromised. Moreover, unless your employer has named you as a third party defendant in the pending case, it may be difficult when they lose to file a new suit against you. This is the kind of case where all the claims should be heard at the same time. Courts do no favor a multiplicity of suits over the same facts and legal questions between parties that should have been joined in the original suit.