These census transcriptions are taken from Ancestry. Warning - There are transcription errors.1861 census 22 New Wynd, Hamilton, Lanarkshire Rego no. 647, Schedule 166
John Clark 54 Head, born Ireland, Labourer- drainer
Mary Clark 35 wife born Ireland
Joseph Clark 16, born Hamilton, coal miner
Margaret Jamieson 15 Stepdaughter, born Wishaw, Lace Tambourer
Owen Clark 7 son born Hamilton
Elizabeth Clark 5 daughter born Hamilton
Thomas Clark 3 son born Hamilton
Ann Clark 10 months daughter born Hamilton
1871 census 6 Russells Row, Dalziel, Lanarkshire Rego no. 639, Schedule 56
John Clark 65 Head, born Ireland, Pit Labourer
Mary Clark 45 wife born Ireland
Ann Cark 12 daughter, born Hamilton
Thomas Clark 3 son, born Hamilton
1881 census Neilston Registration Number: 572/1; schedule 296
Mary Clark 60 Bleachfield Worker, born Ireland
Elizabeth Clark 23 daughter, born Hamilton
Annie Cark 21 daughter, born Hamilton
Thomas Clark 14 grd-son, born Hamilton
Ellen Johnston 22 Boarder
1891 census Holehouse, Neilston. Registration Number: 572/1; schedule 116
Mary Clark Head 60 , born Ireland
Ann Clark daughter 28 Bleachfield Worker, born Hamilton
Thomas Clark grd-son 23 born Hamilton Fireman (Pit)
Nellie McCafferty 26 boarder Bleachfield Worker
Hugh Mulrane 4 boarder
John OBrien 12 Orphan
Daniel O-Brien 10 orphan
Mary Clark did not die in 1883, because she is in 1891 census. That 1883 death cert is not correct. It was in Milton and the family were never living there.
You need the correct death certificate from 1895 mentioned in my above post.Can you please list all the information on the death certificate for Mary CLARK, 1883.