I barely knew about Buckley when he was alive; one sampler album (of artists from Frank Zappa’s Bizarre and Stright record labels) of his had one of his monologues. But he was quite influential, usually compared to jazz musicians in the way he would riff on a theme.
I didn’t recall Jean Carroll at all.
Ross Firestone’s seminal book Breaking It Up! The Best Routines of the Stand-Up Comics can be had real cheap at Amazon. Get it.
It’s the first compilation of stand-up routines, as opposed to jokes, that I know of.* The book came out in 1975 and virtually every person featured in it is still famous.
And it contains Lord Buckley’s signature routine, The Naz. (Elsewhere spelled The Nazz.) It dates from the Eisenhower administration and yet it’s about Jesus as a Jazz cat. It’s not stand-up, not even really comedy. It’s the ur-poem that every person who’s ever gone onstage at a poetry slam is faintly imitating. If he had lived past 1960 he would have become famous beyond belief.
*If you know of an earlier one, tell me.