Some Cunninghams in Kilcoo show up around my family lines. FamilySearch.org has a record in their "Ireland Births and Baptisms, 1620-1881" collection for the christening of John MORRISON, recorded in Kilcoo parish, christened 1 Dec 1822, with his parents Margaret CUNNINGHAM and John MORRISON. Seems likely that Margaret could be related to your Daniel.
In the 1901 UK Census, John Cunningham was listed three lines above the entry for my GGG uncle William B. Laird in Ballaghbeg townland, Newcastle, Kilcoo parish, County Down. John Cunningham is 70 years old and appears to have in his household his second wife, one of her children and wife, and stepgrandchildren. Image here: http://www.census.nationalarchives.ie/pages/1901/Down/Bryansford/Ballag…
Also, in the 1911 UK Census, Hugh Cunningham, born about 1891, was a farm worker/servant in the household of the same GGG uncle William B. Laird and his second wife Florence, in Ballaghbeg townland, Newcastle, Kilcoo parish, County Down. This Hugh could be a grandson of the John Cunningham mentioned above.