Not many were sorry when George III died, except for the fact that the Prince Regent, who would then have the throne, was held in such contempt for his corrupt and undisciplined behavior. But George IV (who had been Prince Regent) lived only ten years longer, so in 1830 his younger brother took his place.
William was at least honorably married at that point, but none of his ten children were legitimate and he did not produce an heir. His brother, the Duke of Kent, was already dead when William died in 1837, thus the way was open for the Duke's daughter Victoria to ascend the throne.
Although William is considered a weak king, Frances Rolleston believed that it was by Providence that he came to the throne, for it was during his reign that the abolition of slavery was accomplished (at least legally) and the Reform Bill, which lessened the suffering of the poor, was enacted.
Frances also considered Victoria to be the provision of Providence because the "blessed ameliorations of our cruel laws, the lessening of the punishment of death, . . . . we owe greatly to having a woman there."