one of your posts on the Scottish boards mentions '....
great grandfather Joseph Donachie who was born around 1872 in Ireland....', which might be the place to start your search, as he should be included in civil records> You would need a more detailed location to start any search for James and Mary as they were born before the start of civil records.
Very few births listed as Donachie or Donaghey, but there is this possible match in the extracted civil births on FamilySearch - right area, date is not too far off, and surname is a variation of Donoghue, which at least sounds similar so might be where Donachie/Donaghey derived ...
Name : Joseph Donoho
Birth Date : 24 May 1869
Birthplace : Co. Longford
Parents : James Donoho & Mary Reilly
Ref. : v 8-1 p 238
A research cert would give a more detailed location, probably the name of the town or townland where the birth took place, and also include father's occupation - which might help..
These are the full references you need to order a cert from the GRO :
Name : Joseph Donoho
Event Type : Birth
Year : 1869
Registration District : Granard
Volume 8 / Page : 238
Granard is the name of a town and also a registration district in Co Longford.
see :
Ordering Certs from GRO Roscommon Details included on a Birth CertDo you know the names of any of the siblings to your Joseph from Scottish records ?
There are some other possible children to this couple in extracted civil records that might help matching up, or ruling out, this couple.