Queen Sophia of England

Sophia Dorothea of Hanover (1687-1757) was the only daughter of King George I of England.
Suppose her older brother George (born 1683) predeceases their father, King George I at a young age. Suppose George had not married.
Sophia Dorothea is married to Frederick William I of Prussia.
King George I of England dies.
Sophia Dorothea becomes the sovereign as Queen Sophia.
What happens then?
 
Actually it's George II who needs to die - preferably before his son Frederick is born in 1707 - to put Sophia directly after George I. Of course G1 might remarry and have more children, but iirc he was fond of his daughter and might well not do so - or do it and the children not materialise.

Most WI's on this these assume that Frederick the Great becomes the next King of England. However, he wasn't born until 1712, so his mother becoming heir to the British throne may butterfly him away,. Also, iirc he had two or three elder brothers who died in infancy, so similar butterflies might allow one of them to survive.
 
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