Are you expecting end of monarchy? There was recent rule change for succession to not depend on gender that makes it more likely there will be a queen in future. For example, Prince Charlotte is now third in line instead of fourth after her younger brother with the old rules.
Charles (10 - 20 years of reign puts us in the 2030s)
William (30 - 50 years puts us between 2060 - 2080)
George (30 - 50 years puts us between 2120 - 2140)
The next possible female monarch is if George dies for some reason (passing onto Charlotte) or if George has a daughter first which would mean she'd take the throne well into the 2100s.
George is already nine years old, I doubt he will be alive in 2120, let alone 2140 (that would require him to live till 127 years of age). You have to rethink your math here. If we assume he'll die at 100, that brings us to 2113.
Ah yep. Forgot to include another 'skip' generation of either abdication or short reign like Charles will be, since my assumption was that William serves a term similar in length to his grandmother.