I search the IFHF's online database @ ROOTSIRELAND.IE. It has abt 19 million B/M/D and other records for MOST Irish counties. Records before 1863 are increasingly scarce and almost non-existant prior to 1800. Early B/M/D events either weren't recorded, or the records haven't survived. Protestan records are the least likely to survive.
For either George or Marg(aret) B 1827 +/- 2 yrs, somewhere in Ireland, with the parents' names unknown, I found 1 record for each name; However, the record for Margaret is in Co. Derry while the record for George is in Co. Wicklow. Therefore it is HIGHLY unlikely they are for your ancestors.
Sorry my results are negative. Good luck and happy new year.