Is a there a farmer vs non-farmer divide in this counstieuncy ?
Farming community (many more people than those directly employed in agriculture) and not, yes. This is extremely productive lowland dairying country, and therefore the farming community is monstrously Tory and has been since they were given the right to vote. There's also a substantial military element, if not to the extent that was the case during the Cold War. The towns are politically and socially mixed: sizeable but not massive market towns with a degree of prosperity in places but also some big estates and more industry (esp. food processing) than outsiders tend to notice.
I think you have to look at the politics of the 19th century, to understand Liberal and to a greater extent Labour weakness in agricultural areas. The aristocrats and gentry who dominated rural areas in the 19th century were originally divided between Whig and Tory factions. Often leading families negotiated to share out available parliamentary seats, in the counties and rotten boroughs under their influence.
By the 1840s the national leaderships of both parties were influenced by urban interests and insane ideas like the highest national priority no longer being maximising the income of rural landowners.
The Conservative leader of the time was Sir Robert Peel. His money came not from landowning but from manufacturing. Peel favoured free trade and reducing protection for agricultural interests. He went too far, too fast and badly split his party. The Tory squires looked for a protectionist leader in the Commons, as a reaction to the repeal of the Corn laws (which had guaranteed a minimum price for grain and thus had increased the price of food to consumers above the free market price). They found Lord George Bentinck, who had been an obscure backbench MP for decades, but had the advantages of being the son of a Duke and someone prominent in horse racing circles. He was also backed by Benjamin Disraeli, who actually had some political talents.
Meanwhile the Earl of Derby was the only prominent member of the Conservative leadership who broke with Peel and so he became the prospective protectionist national leader. The Peelites or liberal conservatives remained a distinct group for a time, but ultimately realigned between Derby's party and the Whigs. By 1859 a formal Liberal Party was organised and Peel's political heir, W.E. Gladstone, became the dominant figure in that party for most of the second half of the 19th century.
Gladstone split the Liberal Party, over Irish home rule, in 1886. Most of the Whig families became Liberal Unionists and Liberal prospects in most English agricultural areas disappeared. The agricultural labourers union leaders also joined the Liberal Unionists.
Labour support was slow to develop in most agricultural areas and the reduction in the size of the agricultural labour force during the 20th century made such vote as was developed gradually reduce. The Liberals, weak as they were in agricultural districts, usually had a bit more support there than Labour so this also reduced Labour's chances.
