From Ancestry.com:
Name: Timothy Cooney
Gender: Male
Birth Date: 25 Jun 1864
Birth Place: Dripsey, Cork, Ireland
Father's Name: Timothy Cooney
Mother's Name: Margaret Richardson
FHL Film Number: 101094
Name: Margaret Cooney
Gender: Female
Birth Date: 26 Sep 1866
Birth Place: Dripsey, Cork, Ireland
Baptism Place: Dripsey, Cork, Ireland
Father's Name: Timothy Cooney
Mother's Name: Margaret Richardson
FHL Film Number: 101139
This would seem to suggest that they were married around 1860; however, I can find no entry in the civil registrations. Why do you think she was born in Co. Armagh?
An interesting piece on the Cooney's in Dripsey:
http://archive.corkindependent.com/history/history/in-the--f...