I'm aware of the "People's Budget" and the Parliament Acts 1911 and 1949, but this was far from the start of the supremacy of the Commons. As early as 1671 the House of Commons passed a resolution stating "That in all aids given to the King by the Commons, the rate of tax ought not to be altered by the Lords".
How did this state of affairs come to be? Was it the civil war, or does it go back even earlier than that?
I wrote a comment about a year ago on the Parliament Acts, and though that's not what you're looking for, it might still be a little helpful. Your question sounds like it will require someone with English Civil War expertise.