The fact I can't find birth records for the children had me thinking the family weren't members of the Established Church. But if so, why would the parents be disciplined by, and have their Irregular Marriage confirmed by, the Kirk Session? I was under the impression that the Kirk Session was an adjunct of the Established Church, and therefore the Session would only have authority over the members of that Church? Or am I being misled by the title of “Kirk (= Church) Session”.
I would appreciate some guidance over what might have been happening here to better understand why I can't find the childrens' births.
The Kirk Session is the committee made up of the minister and elders that managed the affairs of the parish. All the various non-episcopal churches had their kirk sessions. However this is before the Great Disruption of 1843
https://en.wikipedia.org/wiki/Disruption_of_1843 and the vast majority of the parish would have been adherents of the Church of Scotland, which is often referred to as the Established Church. If your Andrew and Elizabeth were disciplined by the Church of Scotland Kirk Session, at least one of them must have been a member of that congregation.
The Statistical Account of the parish of Morebattle, written in 1795, mentions a Seceder (Associate) congregation in the parish, and the New Statistical Account confirms that this was still the case in 1845. See
http://stataccscot.edina.ac.uk/static/statacc/dist/parish/Roxburgh/Morebattle%20and%20Mow - which is worth reading in its own right as background to the life and times of the population.
The register of the Morebattle Associate Congregation is on Scotland's People, in the 'other churches' section. However the baptisms of your Scotts are not listed.
So it looks as if the baptisms of your Scott/Jardine family in Morebattle seem to be missing from the records. This could be for any number of reasons
- the parents neglected to have the children baptised
- the parents did not ensure that the baptisms were recorded
- the clerk neglected to write down the record
- the relevant document has been lost