There was a ship that caught on fire in the charlston harbour south carolina named General Eatonin in the month of June approximately the years you are researching. See "documents of the history of the slave trade to America",
documents of the atlantic slave trade,volume 4, the border colonies and the southern colonies. by Elizabeth Dunnan.

In 1805 a ship named republican arrived from goree on may 2, 1805
othe slave ship names: margaret, brig nancy, independence,

these are just one of the many hundreds of slave ships that reached the port of charlston south carolina.

There were also ships that brought blacks to novia scotia, canada.
To help you with your research google Charleston harbor, south carolina slave ships.