I don't know that you have a legal right to know unless you are being asked to pay or are the executor of her estate.
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I agree with Ms. Reed. The easy solution is to contact the funeral home and ask them. They should be more than happy to tell you if there is any balance owing.
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I'm sorry to hear about your mother's passing. I agree with the other attorneys. I don't know of any legal right that you have to this information, but the funeral home should be willing to share that with you.