Not long into a raucous, high-volume stand-up set she performed on Thursday night at Carolines on Broadway, Leslie Jones described the experience of having to explain to an elderly aunt why there were pictures of Ms. Jones’s naked body on her computer screen.

The awkward conversation followed an episode from last summer, when, amid a series of online abuses that Ms. Jones suffered, her personal website was hacked and explicit images of her were posted there.

“Now I got to explain this to my aunties,” said Ms. Jones, 49, a cast member from “Saturday Night Live.” “They old, and they from civil rights. They just now getting computers.”

Slipping into the quavering voice of one of these relatives, Ms. Jones said, “She was like, ‘Was it the Klu’s Klux Klan?’” She examined her niece’s anatomy and added, “I didn’t raise you like that.”