The McKinney Notebook records births in the Carnmony/ Carmoney / Carnmoney Presbyterian Church on LDS film # 1701993 item 1 Marriages and deaths may have possibly been recorded too. Carnmony / Carnmoney Presbyterian Church records held by the Public Record Office of Northern Ireland, reference # T1013 filmed on LDS film # 0258610 items 1-3.
The PRONI has catalogued the archive of Carnmoney Presbyterian Church, 1686-1821. Some of these people may have emigrated to Lancaster Co. PA.
From Google books : “Report of the Deputy Keeper of the Records". 1949 & 1950 May have 21 references to Houston and possibly Alex. Adair(e) and Mary Robinson family of Carnmoney / Carnmony Par. Co. Antrim 1775.