I also think there's an additional coda to this which is that "I was the first person in my family to go to university" isn't even that unusual, it's very much the norm until the 1980s, surely? Even today only about 40 percent of school leavers go on to do a degree.
Jack Tindale
Matt Goodwin makes a living out of railing against university educated elites & his whole schtick is "he was the first person in his family to go to university", which is a bit weird given that his Dad, now being heavily invoked for his Manchester connection, appears to have a string of degrees.