I'm looking for information on any descendendts or forebearers of a couple who married and raised their family in the parish of Muirkirk, Ayr. Adam Begg married Elisabeth Gibson 19 Nov. 1773, their children, all born or christened in Muirkirk according to GROS are listed below:

Margaret Begg, 1 Sep. 1774
Agnes Begg, 17 Mar. 1776
Mary Begg, 1 Feb. 1778
William Begg, 6 Feb 1780
Adam Begg, 21 Oct. 1781
Anne Begg, 19 Sep. 1783
Adam Begg, 9 Aug. 1785
Jane Begg, 29 July 1787
Jeane Begg, 15 Feb. 1789
Matthew Begg, 13 Nov 1791
Mary Begg, 6 Oct. 1793