Third Lanark were one of the Glasgow teams in the shadow of The Old Firm. I don’t know if they drew any support from Lanark itself.
Thought I’d sussed where all the oddly-named Scottish teams played, but no, so thanks 
A little quiz: where are the following teams based?
Queen of the South
Queens Park
St Mirren
St Johnstone
East Fife
Hibernian
Heart of Midlothian
Cove Rangers
Spartans