I believe from my searching on "Family Search" (Index # M11628-1) that:
Alexander Allan married Mary Corbett on 6 Jan 1862 , Cambusnethan, Lanarkshire, Scotland.
That doesn't show me their parents though.
Hi Mustang Sally
In the
1861 Scotland Census, Lanarkshire > Cambusnethan > Town: Wishaw > I think the
Alexander ALLAN aged 20 - coalminer - born: Shotts, Lanarkshire, and residing at Campbell Street with Janet
Anderson*, widow, 65, housekeeper, is probably your man.
[* Surname is given as "ANDERSON" ? ]
Also in the same locality (again at Campbell Street) >
James CORBET - 58 - Ag. Lab. - born Lanarkshire - Cambusnethan
Helen B. CORBET - wife - 49 - born Liff, Forfarshire (Angus)
Mary CORBET - dau - 20 years - b. LanarkshireAlexander CORBET - son - 16 years - porter - b. Lanarkshire
[Note: The marriage record (@ familysearch ) for Alexander ALLAN - 6 January 1862 - at Cambusnethan shows spelling of bride's surname as "CORBET" - with just one "T" (Mary CORBET). ]
You can view these census returns at the FREE CEN link provided earlier by Spades.
[I'd found them via other resources ... the info though, matches. ]
Look on Freecen Scotland to see if they appear in any census.
http://www.freecen.org.uk/cgi/search.pl
~ Lu