If your mother has no qualifying relative for the I-601, then under current laws, she has no way to overcome inadmissibility due to the misrepresentation.
Nobody knows at this point whether Congress will modify the definition of "qualifying relatives." The answer to the question should be known soon though. Personally, I think it is unlikely.
Now it's possible that your mother has been wrongly accused of misrepresentation and there might be arguments raised that could overcome the allegation. That is something you could explore with an experienced immigration attorney. The issue is too complex to explore further on this website.
Without knowing where she is in the process, benefits or removal, it's hard to determine what other options are available. Likely the best avenue is to challenge the fraud as DHS doesn't always get it right. Unless you're successful in that challenge, the likelihood is that CIR will not assist someone who has been found to have committed fraud.
I agree with my colleagues.
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