Green’s Dictionary of Slang

to perform something thoroughly, to carry it out completely.

1785, 1788, 1796		Grose Classical Dict. of the Vulgar Tongue.
1811		Lex. Balatronicum.
1846		Leeds Mercury 17 jan. 4/4: It is his opwn fault if he does not go thorough-stitch in the measure he is about to submit to his country.