Jacobite Restoration, Effects on America?

Suppose somehow the French and Spanish are able to get past the Royal Navy and send an army to help Bonnie Prince Charlie take London and restore the Stuarts.

What happens to Britain's American colonies? Do they accept the new King? Declare themselves independent? Become a 'colony' of Hanover?
 
Some kind of civil war or period of unrest in Britain is likely. At minimum you get a new influx of Whig settlers. Its possible that at least the more Puritan colonies declare their continued fidelity to the Hanoverians. Whether they get away with it or not depends on how preoccupied the Jacobite crown is. Pretty occupied, I imagine. Which means that it really comes down to whether local colonial Jacobites are enough to quell the insurrection and/or whether France and Spain send troops to quell the problem.
 
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