Hi Uggy,
It can certainly be very frustrating when you start out searching for your ancestors until you learn the ropes. Thankfully all the folks on this forum are very helpful and it doesn't take long to find your way. We all have access to different websites and can usually help out from different sources. Here's what I found on the family in the way of census:
Note: all family mbrs are born in Carstairs unless otherwise stated
1851: Living at School House, Carstairs
Thomas Martin, aged 30, Tile Burner
Mary aged 23
George aged 2
John aged 1
Margaret Gray aged 12, House Servant
1861: Living at Village of Carstairs
Thomas Martin aged 40, Coalman (Lab)
Mary aged 33
George aged 12
John aged 11
Janet aged 9
Agnes aged 7
Thomas aged 5
Mary Ann aged 3
Mary aged 1
1871: Living at Northside Row, Carstairs
Thomas aged 54 Engine Fetter Apertant Raily (Engine Fitter at Railway?)
Mary aged 43
George aged 22 Feresnan (loco Engin East) (I think he's a fireman at railway?)
John aged 21 Brooksman (raily) ( Looks like a Brakesman at Railway?)
Marrion aged 11, Scholar
William aged 8, Scholar
Edward aged 6, Scholar
Helen aged 3
Eliza Griffith Martin, 6 mths
1881: Living at Lanark & Edinburgh? (parish of Carstairs)
Thomas Martin aged 60, Railway Waggon Examiner
Mary G aged 53
William aged 19, Loco Fireman
Edward aged 17, Waggon Greaser
Elizabeth aged 10, Scholar
Andrew Paterson aged 30, Lodger, b Broughton, Peebleshire, Railway Waggon Examiner
1891: Living at Lanark Rd, Carstairs
Thomas aged 70, Sub Postmaster
Mary G aged 63
William aged 28, Railway Platelayer
Edward aged 26, Railway Engine Driver
1901: Living at Post Office Carstairs
Mary Martin, Head, aged 73
Mary A aged 43, Sub Post Mistress
Elizabeth G aged 30, Rural Auxiliary Post Woman
William aged 38, Railway Surfaceman
Thomas aged 18, Grandson, b Carstairs, Railway Engine Fitter (apprentice)
Likely marriage on IGI family search:
Thomas Martin and Mary Gardner in Carstairs 07 Jul 1848
Possible birth on IGI family search:
Thomas Martin b 03 May 1820 Carstairs
Thomas Martin christened 07 May 1820
Son of George Martin & Agnes Donald
It appears that Thomas has died sometime btwn 1891 & 1901 and as he lived in Carstairs all his long life it's possible he can be found on ScotsP within this time frame in the parish of Carstairs thus confirming his parents.
There are trees posted on the Anc.com site with photos also for this family. Hope this helps,
Sage.
In addition:
likely death date for Geo Martin b 1849 from the info I am seeing
16 Jan 1925 aged 76