(The). To go up the Lawn-market, in Scotch parlance, means to go to be hanged.
Up the Lawn-market, down the West Bow, Up the lang ladder, down the short low.
Schoolboy Rhyme (Scotland).
“They [the stolen clothes] may serve him to gang up the Lawn-market
in, the scoundrel.” —
Source: Dictionary of Phrase and Fable, E. Cobham Brewer, 1894