The area behind Ft Moultrie has great views of Ft Sumter and Charleston harbor.
From Fort Johnson on James Island.
At the Fort Sumter memorial. You will need binoculars.
Sullivan's Island at Fort Moultrie an the Battery from down town Charelston because both are related to Fort Sumter. If your going to see one of them you will want to see all of them. There is a beach front that you can walk in front of Fort Moultrie an take some great pictures of Fort Sumter.
Downtown Charleston or Sullivans Island
The fort to the east maybe?
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