So from where do we get the common expression, "ill gotten gains" if its use is incorrect? Also what about "misbegotten" in the sense of illegitimate?
'Gotten' was common in mediaeval English but has since died out in the UK yet survived in the USA. In American English it is used in the sense to acquire or receive. "They have gotten a car" would suggest a new event whereas "They have got a car" would indicate that they already own the car.
It is therefore correct usage.
As for 'verbing the noun', Shakespeare did it all the time, for example "Julius Caesar who at Phillipi good Brutus ghosted" or " Destruction straight shall dog them at the heels."
And I bet that you have "Hoovered a carpet" or "Googled a query"
It's what Stephen Fry was saying about English being a living language that is constantly evolving. It has been doing it for centuries.