In politics in the UK, there is a left and right side of the "house". Currently the Conservatives are the right and Labour are the left. Neither party existed

In politics in the UK, there is a left and right side of the "house". Currently the Conservatives are the right and Labour are the left. Neither party existed when the UK Parliament was initially created. I wonder whether the old Latin (right == good/left == dodgy) thing has been perpetrated here or it it is coincidental. I also wonder whether old Latin speakers really had a snag with sinister ie left handers or is that a modern affectation.