You have this query under Co. Clare. There’s more than one place named Mountchannon in Ireland. the village where Obadiah Brady lived appears to me to be in Inishcaltra parish, Co Galway.
Can't see a marriage in Ireland for Obadiah. Some Brady marriages which do appear to relate to your broad family:
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1858/09559/5465585.pdfhttps://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1848/09358/5388690.pdfhttps://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1846/09318/5374205.pdfhttps://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_returns/marriages_1849/09378/5396532.pdfEarliest baptism records for Inishcaltra only start in 1851.
Methodism took a lot longer to become established in Ireland as a separate denomination than in England. In Ireland there was considerable resistance to separating from the Church of Ireland. In 1816 the main body of Irish Methodists (the Wesleyans) took the decision to allow baptisms in their preaching houses or chapels, but it was a practice which was only gradually introduced so that it wasn’t until the 1830s and 1840s that it became fairly standard. Because of continuing loyalty and other factors, many – including Primitive Wesleyans - continued to use the Church of Ireland for baptisms for years after this and it was 1871 before all Methodists routinely performed their own.
For Methodist marriages, the earliest that I am aware of, date from 1835 (Belfast Donegall Square, the first Methodist church in Ireland). However in the mid 1800s there were only a few Methodist Ministers (Methodism relied heavily on lay preachers). So that shortage led to the continuing practice of marrying in the Church of Ireland. In addition, in the early years, many Methodist Meeting Houses were not licensed for marriages so that too contributed to couples marrying in the Church of Ireland.
So to summarise, you are unlikely to find many Methodist baptisms before 1820. Few marriages before the 1840s and only a handful for many years after that. If there are no Methodist records in the location you are researching, I would search Church of Ireland records instead, as that’s the most likely place to find the relevant event.
Not many Methodist Meeting Houses have graveyards and so they may be buried in public or Church of Ireland graveyards (which are open to all denominations).
Edgehill Theological College in Belfast has a Methodist historical section which may be able to tell you a little more about your ancestors connection with the Methodist church.
www.edgehillcollege.orgI don’t see Obadiah Brady in the list of Methodist Ministers in Ireland so suspect he may have been a lay preacher rather than an ordained Minister.
https://methodisthistoryireland.org/people/ministers/#1506674326964-b8ea81b0-4bf1