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Your mother is still living so I will presume that she deeded the home to your sister while retaining the life estate.
You say Sister and her attorney have scheduled a "compliance conference", and I don't know what that refers to. Is there a court proceeding going on with regard to your mother? Yes, you would be entitled to a caretaker's allowance, but what fund will it be paid from? A tax sale would wipe out mother's life estate, and any overbid would go to your sister as the owner of the fee simple title. Someone has to pay the taxes and insurance for your mother so that the home is not lost. If you can do so, then it will at least prevent your sister from evicting your mother out and selling the house herself. This was obviously not a very good estate plan on the part of your mother.