In this situation, I would probably say that you need some time to figure out taxes and fees, but of course will share with your sister (no need to mention the split). If your mom keeps asking at that point, say, "Right now I want to concentrate on the funeral / cleaning out the house / whatever."
Then, once you know where things stand, you can decide what to do.
If your parents have been divorced for years and your sister is an adult, it really is none of your mother's business.
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