Walker, Falkirk-Abercorn-Linlithgow, 1632-1790

I am researching a family of Walkers in the Falkirk-Abercorn-Linlithgow area of Scotland during the period 1632-1790.

Names include:
James Walker, b 1732 Abercorn, m Christian Kay;
William Walker, b 1712 Abercorn, m Anna Walker, b 1712 Abercorn;
William Walker b 1677 Linlithgow, m Margaret Jervie;
Alexander Walker, m Helen Scott Abercorn 1711;
William Walker b 1632 Linlithgow, m Helenor Ranken.

My connection is through Christian Walker (chr Falkirk 22.5.1763) who married James Ancell in Falkirk 30.7.1790. Their daughter Christian/Christina Ansell is my gggg grandmother and her daughter Elizabeth DOWNIE (nee HORN) emigrated to Australia with her blacksmith husband Andrew DOWNIE in 1849.

Belinda in Australia