No Jacobitism

Let's say both the Old Pretender and Louisa Maria die of smallpox in 1712 instead of just her. Queen Anne dies more or less on schedule. There is no rising of '15.
What role are the Hanoverian monarchs going to play in the British political system with their claim secure and uncontested?
How soon could we see Catholic emancipation?
Does this affect British North America, other than unpredictable butterflies (I'd say no, but there may be something I have missed obviously)?

Also, just for fun, who's the next Jacobite "claimant"?
 
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