Methodism took much longer to be established as a separate denomination in Ireland than in England and other places. (Primarily because so many members wished to remain part of the established church). It was not until 1819 that they decided to baptise their own children and even then in some cases it was the 1870s before all Methodists routinely did. Likewise for marriages. I have never come across a Methodist marriage in Ireland prior to about 1835. So for the period that you are interested in, ie a marriage around 1822 your family is likely to have married in the Church of Ireland. If there was a mixed marriage with an RC family, then the RC church would not normally have married them at that time (I think it was the 1830s before the RC church would allow that). So again they would likely have used the Church of Ireland which accepted all denominations.
Ballymore Church of Ireland’s baptism, marriage and burial records all start in 1783. There’s a copy in PRONI. That looks the best place to search for your family. The holding in PRONI contains the following records: “Baptisms, 1783-1923, which include a list of Presbyterians baptised, 1822-31; marriages, 1783- 1908; burials, 1783-1899; vestry minutes, 1771-1810; vestry account book, 1821-7; confirmations, 1843, 1846, 1849, 1852 and 1856; estate rental for the manors of Ballymore, Acton, Clare etc., possibly used for tithe or cess purposes, 1812-27; history of the church from the 17th century.”
For baptisms, in addition to searching Ballymore Church of Ireland, you could also search Tandragee & Fivemilehill Wesleyan Methodist records. Their baptisms start in 1819, but they did not marry in that denomination till 1838. Again these early baptism records are in PRONI. They are not on-line.
