Joe,
Statutory birth registration only started in Ireland in 1864. Prior to that you need to rely on church records but not all the records have survived and not all are on-line.
Tradition was to marry in the bride?s church. So whatever church that was is where I would look for her baptism. What was it, and roughly when was she born? I?ll then tell you whether there are any records and where they are kept.
For her husband, you would need to have some idea of where he was born. There are dozens of Presbyterian churches in that area and to search them all would take ages. And many don?t have records from the 1820s/1830s.
For their children, it would depend on where they were living. I?d start with the church where they married, but there are several other Presbyterian churches in the vicinity of Pullans. (And of course they may well have moved, so the children might be baptised in different churches).
I looked in the 1831 census for Hunter. There are 190 in Co Derry, with about 10 William Hunters. So plenty to choose from. For Robert McColgan, there was only one (and no Robert Colgans). The 1 Robert was in Ballyclaber aka Claber, which is in the parish of Coleraine. So I?d say there?s a chance that?s the bride?s father. Having said that, where these families were living (in Pullans) is right on the county boundary with Co Antrim. The 1831 and other early censuses for Co Antrim are destroyed and so if that?s where they came from we won?t know. The full copy of the 1831 is in PRONI. On it you can find out how many people lived in each household and what denomination they were. So you could get an opportunity to assess whether it?s the right family, and if so, approximately how many siblings the bride had in 1831.
Agricultural workers and labourers tended to rent a property for a year or less and move to follow the work. Mechanisation was beginning to reduce the need for such labour and for the weaving that they tended to do in the winter months, and so that?s why they moved about a lot, and why the next generation just got the first boat to Glasgow where there were much better employment opportunities due to the industrial revolution. These agricultural labourers are notoriously difficult to trace in Ireland because of the constant moving.
Elwyn