You could certainly see a Revolution jump the
Channel, considering there was great agitation during the 1790s with common Britons screaming "No war! No Pitt! No King! Bread, give us bread!"
The late Hannoverians were not that loved in some sectors, even George III, mocked as a simple man who still followed a strict protocol; Queen Charlotte, a bored and dowdy mother who refused to be left alone and so kept her six daughters, of whom only one, Charlotte, the Princess Royal had married before 1816 (which was in 1797 -- and already thirty one, quite old for the age a princess had her first marriage). The Dukes are too numerous to write about, except they were reviled as debauched rakes, deeply in thousands of pounds of debt and continuously pressing Parliament to raise their allowances.
The great majority lived openly with their mistresses, considering marriage only as a way to increase their allownaces. George III had fifty-six grandchildren in 1813, IIRC: only one of them was legitimate, the Princess Charlotte of Wales. The public was pretty disgusted, especially the grave abuse George IV endured. He locked himself up in Windsor and his days were spent sending equerries to bribe the newspapers to trone down their abuse.
Even the sisters were not without scandal; they resented being attached to their overbearing mother and enduring hours of sewing. At least two (Princess Sophia and Elizabeth as well, if I'm not mistake). The monarchy was deeply upopular and into the 1830s was being viewed as a moribund institution of Old Tories who resisted change. George IV had opposed Catholic Emancipation and as Regent was loyal to the Tories, despite his younger whig leanings. William IV often acted the same, refusing to countenance the Reform Act and being strictly Tory. Just as Charlotte in 1817 was viewed of hope for the Whigs, so was Victoria twenty years later.
So a revolution is not
impossible (I
hate when people think it is impervious of any government change. IMO, OTL was something that happened by a slim change. Victoria's father was behind three other brothers; two estranged from their wives by one who had a young wife who could've easily had one of her children survive). Victoria's ascension was almost an accident and the fluke of history.
But any wouldn't be influenced by the American Revolution, at least directly. It'd have aspects of it, of course, but I think a revolution would take two steps depending on the period. One in the 1790s, influenced by France, and the
Declaration of the Rights of Man as well as American Constitution and writers such as
Paine. One Revolution in the 1830s though, would be much more influenced by romanticism. The or the disturbances of 1830 within Italy, France (the July Revolution), Belgium (The Belgian Revolution) would be much more romantic in it's outlook.
There have been several discussions, though, regarding a possible revolution in the 1830s. It essentially puts Cumberland on the throne, that ultra-Tory Duke who voted against the Catholic Relief Act and had power over the orange lodges. Surprisingly, he had no issues with the Reform Act of 1832, as he figured it'd give the Protestants a larger voice, as he believed more Protestants than Catholic.
Anyway. I believe an 1830 revolution is more likely. More romantic and likely inspired by events in Belgium and France. Cumberland is not completely necessary, as all these dodgy old sons of George III's were Tory Grandees except those listed above, like Sussex and Cambridge. Cumberland is a regular reviled fire eater, but many forget William IV
opposed the reform act and that it could restrict
his power, appointed his own Prime Minister in 1834 despite the seat allocatement. Even George IV was meddelsome, going from supporting Catholic Relief to being totally against it as he could
support it while he was merely
Prince Regent, but being King meant taking an oath to uphold
the Church of England.
So, I think had any of the last Hannoverian Kings been bumbling fools, or had Cumberland ended up successor, it'd be a difficult time. Even if George IV and William IV had lived longer, it's give them more time to be meddlesome and difficult. Add in serious issues with public health or food supply, mix in a terrible political scandal or ruinuous war, and you have the ingredient to a revolution in Britain.
