Based on the quote from the diary of the woman who lived through the siege of Vicksburg, two hardships described by this survivor are:
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Food and Water Shortages: The survivor emphasizes the struggle with the basic needs of sustenance, highlighting the desperation in asking, "What shall we eat?" and "What shall we drink?"
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Sleep Deprivation: The mention of having "but little sleep" suggests the stress, anxiety, and possibly the physical conditions of the siege, contributing to a lack of rest and disruption of daily life.