The lookup tool on the DAR website lists a John Dickey, spouse Mary Logue, as having served as a Private in South Carolina.

DICKEY, JOHN Ancestor #: A033721
Notice:  MORE ON BACK--SEE COMMENT  (WHY?)
Service:  SOUTH CAROLINA    Rank: PRIVATE
Birth:  (CIRCA) 1755    IRELAND
Death:  9-8-1819     AMITE CO MISSISSIPPI
Service Source: SC ARCH, ACCTS AUD #1925, ROLL #48.34
Service Description: 1) CAPT MCCAULEY
2) GEN MARION 1780-81