My name isXXXXX a licensed attorney. Glad to try and help out.
Sure sorry for the circumstances, truly. My heart goes out to you folks.
Here's how this works. Your wife is absolutely lawfully entitled to a workplace free from conduct rising to the legal definition of a hostile work environment, which is actually a form of unlawful discrimination (along with sexual harassment and other protected class discrimination). Accordingly, I'm pleased to say there is something your wife can do, namely by sharing her concerns with the U.S. Equal Employment Opportunity Commission, as you correctly mentioned. She can certainly could file a complaint (free of charge). She has have six months from the last incident in which to file. Everything she needs is provided here for free:
Filing A Charge
This is an exclusive procedure, meaning it's the only way to properly pursue her complaint rather than starting out by filing a lawsuit and so forth. In other words, if she receives what is called a "Right to Sue Letter", then she can proceed with civil litigation. But, the first (next) step is to pursue her administrative law remedies by filing the charge. It's not an "either or" (optional) situation but rather it's a "must" (mandatory) procedure if she wishes to proceed.
I really do hope things soon look brighter for your wife, and please know that she deserves to be treated properly. She's fortunate to have such a caring spouse in her corner, and I commend you for wanting to help.
If you have a follow-up question or need clarification, please just say the word by using "reply" to reach me.
I truly hope all works out for both of you.