Alexander Paterson 65 died 25 or 26 (crossings out on death certificate) November 1898 Dalziel and living at Dalziel Street (where he lived in 1891), Motherwell - he'd changed jobs again as then a 'Joiners Labourer'. Shown as married to Sarah Dykes (they married 23/6/1854 Hamilton). His parents are given as John Paterson, Handloom Weaver and Janet, nee Gilchrist (they married 9/8/1829 Hamilton).
Informant was son John Paterson.
I found him with his family on 1841 census in Patrick Street, Hamilton:
John Paterson 30 Hand Loom Weaver
Janet Paterson 25 Lace Tambourer
Barbara Paterson 9
Alexr. Paterson 7
Janet Paterson 2
1851 - 20 John Street, Hamilton
John Patterson 45 Hand Loom Weaver born Hamilton
Jean Patterson 32 "
Alexander 17 Hand Loom Weaver "
John Patterson 5
Jean Patterson 4
James Patterson 3
George Patterson 5mos
By 1861 looks as infant son George had died as 2 new children are another George 7 and Thomas 4.
1st wife Janet appears to have died between 1841 and 1845 as John remarried to a Jean Stewart 24/8/1845 Hamilton.
You'll find that Jean's can become Jane's (and vice versa) in Scottish records (my own grandmother being one such person).
John lived to a good age and died aged 88 of General Debility 6 days on 22/8/1890 - shown as married to (1) Janet Gilchrist and (2) Jane Stewart - his parents are given as Alexander Paterson, Handloom Weaver and Ellen, nee Hill (both deceased).
I cannot find any baptisms on familysearch or SP for Alexander or his 2 sisters.
I note that Alexander and Sarah had a son John bc.1854 then a Margaret in 1856 (not around in 1861 so guessing she died) and a Robert in 1858 all in Hamilton.
Hope this helps to get you working back.
Annette
(I see on familysearch that Daniel Liddel was born 1868 Polmont, Stirling to James Liddel and Barbara Paterson - clearly his mother was Alexander's eldest sister).