They are the same place. Andersonville is the name of the railroad depot and small town, and "Camp Sumter" the name of the Confederate military prison facility developed nearby. Even many Confederates, however, just referred to it as "Andersonville."
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In this drawing of the prison facility, the railroad is visible in the background, with a train of cars on it passing through Andersonville...
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The spring the popped up through the earth was called "Providence Spring."
The Veterans and the Women's Relief Corps saw to it the providence spring site was suitably marked in following decades.
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The Spring popped up inside the prison stockade in August, 1864, and was considered a tremendous relief, as the creek which ran through the stockade, was terribly polluted. The "sinks" for the 30,000 inmates were located along it!
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The prisoners, to avoid water polluted by the sinks, etc., walked to the edge of the stockade to dip water from the creek there, though the camps of the several hundred Confederate guards were outside, and contributed to rendering even that water less than pure. Many of the prisoners to find water fit to drink dug deep wells amid their tents. Generally though, the prisoners were constrained to water more or less polluted. After a heavy rainstorm in August, which caused a tremendous freshet to wash through the stockade, a spring burst forth, which provided fresh water from the ground, unpolluted by the miasmic swamp water of the creek generally... Hiram Buckingham recalled...
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More detail of the appearance of the spring given here...
Jul 18, 2012 Summer of 1864 at Andersonville Prison was hot, dry and deadly. On August 3rd, 1864, a group of Christian soldiers finally decided they would pray to God for pure water and would not stop until their prayers were answered. They took turns, praying for hours every day. On August...
civilwartalk.com
John Levi Maile, one of the inmates, noted later that while some in the post-war years were included to consider the spring's breaking forth, in its modest way, rather less than miraculous, others among the prisoners considered it just so.
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The Providence Spring site is maintained within the Andersonville National Park...
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