Yes. He asked her at least three times, over the course of the show.
Off topic but related (!!), I happened to catch the Carson Show that featured Sade. I'd never seen her but knew her songs (think "Sweetest Taboo," "Smooth Operator") pretty well. Her voice and style were exotic and smooth, pitch-perfect and strong, controlled to the point of a cool detachment ...
... and in real life she's just a complete bombshell drop-dead gorgeous woman, with an ice-cool lovely voice, like a vision! I got the impression that Carson was momentarily speechlessly taken with her. God didn't make many like Sade.
Sade is very pretty!
I’ll check out her Carson appearance.
(I miss Johnny Carson.)