My father didn't go to university & also I'm the son of a university lecturer
Using just 1 grandfather I can say 'My grandad left school at 15 and went to sea, serving many yrs in the Merchant Navy'
& also 'My grandfather was a successful salesman for Shell who sent his daughter to private school'
Alexander Clifford
It's quite a fun exercise to try to work out what the most working class and most middle class version of the story of your own social background you could tell. (I could tell wildly different stories about my own social class by picking the biographies of two grandparents - one from each parent.)