Sorry Chrissy for disappearing early - sometimes real life takes over, booo!
You have the main details on Rev. John Kirk, wife, marriage, children show as:
1. Alexander CARNEGIE KIRK b. 16 July 1830/ chr. 1 Aug. 1830 Barry
2. John KIRK b. 9 Dec. 1832/ chr. 6 Jan. 1833 Barry
3. Elizabeth Jane KIRK b. 29 Sept. 1834/ chr. 19 Oct. 1834 Barry
4. James KIRK b. 8 April 1838/ chr. 20 May 1838 Arbirlot
Don't think they had more children than these as (Sir) John Kirk is quoted as being one of three boys and one sister in bios of his life. Further details also here
http://histfam.familysearch.org/getperson.php?personID=I497&tree=FastiTo confirm Rev. John Kirk's parents, including mother's name the only source is the pay to view site,
www.scotlandspeople.gov.uk Have you used this before? It is the main source for original BMD and parish register entries, including original census images. Costs are reasonable.
Not sure how much detailed Scottish research you may have done and therefore how familiar you may be with resources. If you can give us some indication, we can advice better

Regarding your direct line:
James Kirk (b. 1782-1861) m. Jane McConnell 1786-1865
~ Rev. James Kirk (1822-1895 ) m. Abbie Anna Morrill (1835-1913)
~ William Haley Kirk (b. 1874-1945) m. Lucy Fleming
Have you been able to trace James b. 1782 further to confirm his parents? Did he die in Scotland (with all the big benefits of great info from Scottish death certs!)?
Monica