There's also that the Royal Society [0] sponsored some of Newton's work (and Newton was even President of it for a time). That was a group also chartered by the British government (and some centuries financed by it more than other centuries).
(Leibniz had a more complex web of patrons over the course of the decades, including parts of German and French governments and even briefly being a Royal Society fellow. Some of Leibniz's patrons did include private [rich] donors, but it is said that Leibniz was the last scientist/mathematician to find patronage in that way/the last time in history that private donors had shown much interest in direct science/math patronage.)
(Leibniz had a more complex web of patrons over the course of the decades, including parts of German and French governments and even briefly being a Royal Society fellow. Some of Leibniz's patrons did include private [rich] donors, but it is said that Leibniz was the last scientist/mathematician to find patronage in that way/the last time in history that private donors had shown much interest in direct science/math patronage.)
[0] https://en.wikipedia.org/wiki/Royal_Society