Hi Aileen, I will now post all the burial records I could find.
To begin with and to get it out of the way, the last poor relief claim I listed was for Mary Arbuckle, she was the daughter of Archibald, the youngest son of George Arbuckle and Mary Ann Moffat.
She was married to John Tweedlie, here is his burial record.
JOHN TWEEDLIE, coal miner, Glasgow royal Infirmary, usual residence Wishaw. Aged 25 years, married.
Parents - Edward Tweedlie & Catherine Hay.
Interred in 196 Low Public on 18th July 1913.
Lair owned by Edward Tweedlie, coal miner, 11 Brown Street Wishaw.
"Low Public" is the oldest part of Cambusnethan cemetery and dates from 1861. It is not to be confused with "public" or "common ground" which were names given to areas set aside for the interment of paupers.
All dates given here are of burial, which usually took place 2 days after death.
Surprisingly, I found Mary Ann Moffat is interred in the old churchyard at Cambusnethan, it is next to the newer, municipal cemetery (which dates from 1861).
Unfortunately, the records are patchy for the old churchyard, the lair (or plot) book only begins about 1876, before then there are some records mixed in with the new cemetery's day book.
so, all I can say about that particular Davidson plot is that no stone exists on it and that according to the plot book there were 3 interments after 1876 and, that the plot was owned in Victorian times, by Thomas Davidson. The 3 were -
In the centre lair -
AGNES DAVIDSON, aged 77 years, 9th February 1888.
ROBERT DAVIDSON, aged 90 years, 27th December 1899.
MARY ANN ARBUCKLE, aged 67 years, 20th January 1890.
After checking the free index on Scotlandspeople, I found that the above Robert and Agnes both died in Stonehouse parish, her maiden surname was Weir, his mother's maiden surname was Louden.
I checked for children of Robert Davidson and Agnes Weir.
JOHN DAVIDSON, farmer, Stonehouse, aged 70 years, married.
Parents - Robert Davidson & Agnes Weir.
Interred in 496 Low Public, 9th February 1914.
HELEN DAVIDSON, Stonehouse, aged 74 years, widow.
Parents - William Wilson & Margaret Liddell.
Interred in 496 Low Public, 19th August 1915.
JAMES DAVIDSON, manager of stone quarries. Dunfermline, usual residence Burntisland, aged 62 years, married.
Parents - Robert Davidson & Agnes Weir.
Interred in 495 Low Public, 2nd December 1915.
ROBERT DAVIDSON, labourer, Wishaw, aged 74 years, married.
Parents - Robert Davidson & Agnes Weir.
Interred in 166 Private, 23rd September 1910.
ELIZABETH DAVIDSON, housewife, Cocket Hat, aged 28 years, married.
Parents - George Loudon & Elizabeth Hart.
Interred in 166 Private, 28th May 1867.
(The "Private" is a walled section behind the old churchyard and adjoining the cemetery, this was opened in January 1861).
All further interments are in the cemetery.
MARGARET ANDREWS, Wishaw, aged 56 years, married.
Parents - Robert Davidson & Agnes Weir.
Interred in C 83, 23rd September 1893.
JAMES ANDREWS, orchard keeper, Kirkhill, aged 56 years, married.
Parents - James Andrews & Janet Gibson.
Interred in C 83, 18th January 1888.
The next one is bound to be one of yours, with the wonderful Scottish naming custom of middle names.
ROBERT DAVIDSON MAXWELL, Morningside, aged 11 months.
Parents - John Maxwell & Agnes Weir Davidson.
Interred in E 1438, 28th July 1914.
GEORGE ARBUCKLE, coal miner, Wishaw, aged 45 years, married.
Parents - Andrew Arbuckle & Mary Shaw.
Interred in common ground, 23rd June 1869.
JOHN ARBUCKLE, miner, Wishaw, aged 31 years, married.
Parents - George Arbuckle & Mary Ann Moffat.
Interred in C 58, 8th June 1880.
GEORGE ARBUCKLE, Wishaw, aged 18 months.
Parents - John Arbuckle & Marion McNaughton.
Interred in C 58, 20th August 1881.
JESSIE E. DONALDSON, Cambusnethan, aged 1 month.
Parents - James Donaldson & Marion McNaughton.
Interred in C 58, 9th August 1888.
JAMES DONALDSON, janitor YMCA, Wishaw, aged 74 years, married.
Parents - Francis Donaldson & Marion Brownlie.
Interred in C 58, 26th December 1912.
ROBERT McCANSH, Hamilton, aged 5 years.
Parents - George McCansh & Mary Ann Arbuckle.
Interred in E 657, 19th November 1897.
That's all I have for the moment Aileen, if and when I can find the 1931 and 1933 burials I'll let you know. Any questions on anything I've listed so far, please just ask.