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Pat, the only thing I've been able to find is through the LDS FamilySearch site. An ancestral file lists Andrew HANNAY, b. 1733 in SCT, d. 1808 in Albany, NY, with parents Andrew HANNAY, b. abt. 1707 in SCT, and Margaret McCAW, b. abt. 1711 in SCT, with siblings James (b 1734), John (b 1736) and Mary (b 1738). They also list an IGI record for an Andrew HANNAY b. 1733 in SCT, but no parents are listed.
I also am descended from Henry TB HANNAY, through his daughter Elnora Clorinda, who m. Cyrus C. SIMMONS, also of Annsville.
Please keep me in mind if you find anything new, and I'll do the same for you. Good luck.