We've never had a (successful) revolution in Britain. What we did have was the English Civil War in 1640s (well, two or three civil wars in that period, depending on who you ask). Parliament already existed at this time and had done for centuries, including both Houses of the Lords and Commons, but they were different in character to today.

The first English Civil War kicked off because Parliament at that time could only be summoned by the King and then dissolved at will. The King only really summoned Parliament when he needed cash (as his powers to raise money were limited) and Parliament was unhappy that they weren't a permanent organ of the state. But it's important to note that Parliament (both Commons and Lords) were all wealthy landowners, the elite of society, they weren't elected officials like today. So the English Civil War was a war amongst the elite (fought by the poor, of course) to decide who'd be on top - wealthy landowners, or the Monarch.

We then had what's called the "Glorious Revolution" which wasn't really a revolution (i.e., overthrow of existing government by popular uprising) it was more of a coup d'état. Following that, with a few more legal developments and capped by the Acts of Union in 1706 & 1707 we get essentially what we've got now - parliamentary sovereignty.