I'm not familiar with the UK labeling / meanings, or most other countries for that matter.
In the US there is also a distinction when it comes to government vs personal social matters.
Left / Liberal tend to favor big government, high taxes,, and lots of government services. But they also favor minimal government intrusion into personal lives, and social matters, the government shouldn't enforce morality
Right / Conservative are the opposite. Small government, low taxes, minimal government and services. But they are typically for government intrusion into personal matters, turning morality into criminal matters.
Both sides are logically inconsistent. Liberals are ok with big government but not big corporations. Conservatives are ok with big corporations but not big government.
So you also end up with hybrid types that are a blend of both. People who are fiscal conservatives but social liberals, small government and also minimal intrusion into personal matters, basically a live and let live philosophy.