EDCBA,
This is what I found, a bit complicated but I'll try to keep it simple.
Basically, the records I have for Cambusnethan are -
1. - Lair (plot) records for the old churchyard, beginning around 1878 - 80 and ending about 1916.
2. - Pauper burials, mostly in common ground 1861 - 1881 with a gap 1869 - 70. Sometimes, if the family already had a plot (usually in the old churchyard) the pauper would be buried there and the parish would pay for the funeral.
3. - Burials in the Private Cemetery (now owned by the local authority) 1861 - 1901. This was apart from the "new" cemetery opened in the 1860s by Cambusnethan parish council - now the "modern" Cambusnethan cemetery.
4. - Daily diaries of burials in the new cemetery 1876 - 1901 and 1906 - 1916 with a few entries for 1917.
So, from these records for example, a pauper who died in 1880 and buried in a family plot in the old churchyard, will show up twice. Once in the plot records, which only give plot owner's name, deceased's name, age, date of internment and position in the plot (usually north, south or centre and depth). Pauper will also appear in the records of internments of paupers, giving name, age, occupation, district of abode, marital status, parents names and date of burial - if all this information is known.
The name "Mullan" is here sometimes transcribed as Millen, it appears too often to be a transcription error, it is more likely to be how it was spoken by the "Millens" themselves.
This is the family of Mullens that Sarah married into, we know that from the internment in that plot of your ancestor Edward in 1881.
So, 1st of all, here is the residents of a family plot in the old churchyard of Cambusnethan. The owner (in Victorian times) was Edward Millen.
In the South lair -
ELIZABETH McCORMACK, aged 10 months, interred 7th June 1880.
MARY WALKER, aged 2 weeks, interred 26th Feb 1885.
ROBERT WALKER, aged 20 months, interred 16th April 1886.
FLORA McKAY WALKER, aged 18 months, interred 29th July 1887.
SARAH WALKER, aged 2 years, interred 10th July 1880.
FLORA McKAY WALKER, aged 4 years, interred 20th July 1880.
SAMUEL WALKER, aged 1 year, interred 24th August 1889.
In the Centre lair -
GEORGE LINDSAY, aged 2 months, interred 4th Sept 1880.
EDWARD McCORMACK, aged 51 years, interred 20th January 1881.
JOHN DAVIES, aged 5 months, interred 25th October 1881.
EDWARD McCORMACK WALKER, aged 1 year, interred 31st March 1882.
EDWARD M CHALMERS, aged 17 months, interred 9th August 1880.
ALEXANDER WALKER, aged 8 months, interred 9th March 1891.
In the North lair -
WILLIAM MILLEN, aged 21 years, interred 4th October 1883.
EDWARD MILLEN, aged 73 years, interred 28th January 1891.
JOHN McCORMACK, aged 26 years, interred 20th September 1882.
JANET KERR, aged 3 weeks, interred 2nd July 1895.
------------------------------