We get lots of requests looking for ancestors. One of the sites I have found most useful is the BT Phone Book. Using surname and postcode searches you can get names, addresses and telephone numbers that you may find useful.
Here is a link to the site and the postcodes for Carluke and some of the surrounding areas you might like to try.
BT Phone Book - view website
ML8 - Carluke
ML1 - Motherwell
ML2 - Wishaw
ML11 - Lanark
ML3 - Hamilton
Note: the addresses shown in the BT Phone Book are full UK postal addresses. They include postcodes (zip codes). When sending mail to Scotland you would only need to add the word 'Scotland' to the address. Please see the example below.
e.g. 100 My Street, Carluke, ML8 4LP, Scotland.
Useful genealogy websites:
Scotland's People - view website
Scots Origins - view website
Scotland's Family - view website
Family Search - view website
General Register Office, Scotland - view website
National Archives of Scotland - view website
Ancestry - view website
Genes Reunited - view website
Clyde Valley Arts and Culture - view website
pramsay13 - view website