Mark,
The certificate records that Robert Cunningham, labourer, lived at New Buildings and was the son of James Cunningham who was dead in 1875. The bride was Nancy McBride of Secon, the daughter of John McBride a labourer. A witness to the marriage was Andrew McBride (the bride’s brother perhaps?). The marriage took place in Ballymoney 3rd Presbyterian church which, rather confusingly was at one time also known as Ballymoney 2nd Presbyterian church and also as St James. It’s baptism and marriage records start in 1835. The church still exists today. Here’s it’s website:
http://www.stjpresbyterian.org.uk
Tradition was to marry in the bride’s church so if you want to research Nancy’s background eg looking for her baptism and that of any siblings, I’d start with that church’s records. There’s a copy in PRONI (the public record office) in Belfast.
There are 3 townlands named Seacon in the Ballymoney area. Seacon Beg, Seacon More and Seacon Lower. I looked at the revaluation records for each for the years 1867 – 1885 but did not see a house listed for John McBride (or any other McBride). That would suggest either that the family didn’t live there long, or that they or Nancy lodged with someone else, or that they had a house of too low a value to be recorded by the Griffiths clerks.
There are 2 townlands named New Buildings (North & South). I checked them for the same years but also failed to find any Cunningham households. The reasons are likely to be the same as for Nancy.
http://www.proni.gov.uk/index/search_the_archives/val12b.htm
You will at least have some knowledge of the general area where the couple resided when they married. You can see where each townland is located using the maps on the Griffiths Valuation site:
http://www.askaboutireland.ie/griffith-valuation/index.xml