Hello Middlesbrough,
I found one definite burial for this family, not in the old Churchyard or cemetery but in the ancient (pre-Reformation) ground at Kirkhill. This was mostly used later on (after the "new" church was built a couple of miles away about 1650) by farmers and estate workers with very long links to the parish. It is quite out of the way and difficult to reach and the last interment would probably have been September 1955.
This is the one I found -
THOMAS AITKEN, labourer, Wishaw, aged 52 years, unmarried.
Parents - Charles Aitken & Lockhart Lothian.
Interred in the Clyde burial ground on 27th October 1866.
There are a few Lothians, some in Kirkhill (the Clyde as it's called in these records) and some in the old churchyard at Cambusnethan village. The related names are Lang, Wilkie, Dalziel, Brownlee, Davidson and Ferguson. If you want the details let me know. I have a few pictures of the Lothian plot at Kirkhill if you want them. There is still a joiners firm in Wishaw called Lothian, I see their van going around, William Lothian, joiner was buried at Kirkhill 20th September 1861.
Lastly, one of the very last entries on the list of burials for Kirkhill (and it's a short list of names & dates, no parents) is -
AGNES AITKEN, aged 62 years, interred 30th March 1955.
Hope this helps,
Lodger