My records for Aghaderg parish, County Down show the following births:
Daniel McClory born Oct 7th 1883 to James and Mary Ann (nee Donnelly) McClory. (The presence of absence of the 'e' was just on the preference of the priest who registered the birth.) Many parents were still illiterate even then.
Margaret McClory born Jan. 6th 1889 also to the above parents.
Margaret McClory born March 19 1882 to John and Margaret (nee Lennon.)
I see 2 other Margarets born 1894 and 1898 but they are surely too young. Contact me should you want their details.
I can find no record of a marriage featuring a Daniel McClory anywhere after 1854 in this parish. A Margaret McClory did, however, marry George Byrne in 1907. Can't be your grandmother but probably one of the others above.