If your only income was social security, then claiming your mother as a dependent and filing as head of household will not change anything on your return. Filing as head of household just increases your standard deduction which is subtracted from your AGI to arrive at taxable income. However, if you only have SS income, then you do not have taxable income.
So any of the years you did not file due to only having SS income, would not be worth filing.
Also, you can only go back to 2021 to file a return to claim a refund. But again, in your case, with no taxable income, there would not be any type of refund when you do file even with claiming your mother as a dependent.
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