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The Times 8 Dec 1923, The Labour Year Book 1924, The Constitutional Year Book 1924, The Liberal Year Book 1924, Sunday Post, Lanarkshire 19 Oct 1924, Edinburgh Evening News 29 Oct 1924 gives the votes as 8,583, 6,738 and 3,583, majority 1,845. The Times House of Commons 1929 gives the majority as 1,845.
The Constitutional Year Book 1929 and The Liberal Year Book 1929 give 8,570, 6,731 and 3,578, majority 1,839.
I think the votes reported in The Times on 8 December 1923 were used by the respective party yearbooks for 1924. I think the local papers in previewing the 1924 elections used the same Times source. The 1929 party yearbook's make the same change, that logically can only have been triggered by the same event. That event I suspect to have been a correction to the original figures. It is possible that local papers in 1924 did not pick up on the correction.
On balance, I am going with my hunch that the figures sourced from 1929 are the right ones.16:13, 14 September 2016 (UTC)