Hi Mandy,
Just noticed your posting today, I'll check for the stones as soon as the rain eases-up!
Your Hector McKenzie who died at Berryhill in 1888 was a pauper and there are some excellent poor relief applications for him, his widow and his son James, plus other family, on Ancestry.
As a pauper Hector would most probably have been interred in common ground at Cambusnethan cemetery. Unfortunately, there is a huge gap of about 25 years in the paupers burial book but I'm 99% certain that he's buried there.
The cemetery records I have end at 1917 but I will try to check out the plot numbers over at the cemetery office.
The only record I have is this one -
MARION McLAUGHLIN, Wishaw, aged 55 years. Widow.
Parents - Peter Wilson & Ann Beveridge.
Interred in plot E1715 on 18th January 1910.
Plot owned by Alexander McKenzie, coal miner, Bute Crescent, Belhaven Road, Wishaw.
I'll get back to you as soon as I can about the rest of your enquiry.