My wife was offered a new job, 36 hours before she was suppose to start her job, the company rescinded their offer, stating, b/c she didn't check ONE box on the application, she falsified her application, in the meantime she had given her notice and quit her other job, is she entitled to unemployment? Her job was filled already, and she cannot return.
Since my request that the name of the state is a fairly recent "non-negotiable" condition of answering any question .. I'm answering you .. sort of.
Now onto your "unusual circumstances" .. even if your state happens to have a provision which would allow good cause to quit to accept a better paying job .. which subsequently doesn't work out for some reason .. the reason the offer was rescinded will play into whether your wife will get benefits paid for by the last employer .. or more likely non-charged and paid for by a state's general fund.
So, if you are willing to tell me what state and what "box" she didn't check that is now equating to a "falsification of an employment application" .. I'd be happy to try to answer your question.