Sorry---your mom cannot get earned income credit if her income is Social Security disability. You only get earned income credit if you work at a W-2 job or have self-employment income. So your plan does not work. She cannot get any sort of refund even if she files HOH--- refunds come from paying more tax than you owe, or from refundable credits. She is not eligible for a refundable credit. Sorry---you are in a tough situation.
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