Actually, she appeared on his shows during the course of decades. I am
pretty sure
I saw her on his show during the late 1970's or early 1980's, myself,
with my own eyes.
And she appeared with just herself.

She did appear on his predecessor's, Jack Paar show with a pet. But the
pet was a DOG!
And the dog was on the desk, not in her lap, according to an internet
debunking site.
In her autobiography, she mentions horses and dogs, but never cats,
according to the
urban rumor type site. In any case, it's unlikely that she would have a
Persian cat
and appear with it in front of millions of viewers and never mention this
in her book?
Anyone read her autobiography here?

In 1989, Johnny Carson in response to a question by Jane Fonda on his
show,
whose son (Jane's) asked about this, said it never happened, although it
appeared
that he wished that it did happen. He said he would have remembered if it
did happen.
If it did happen, it was about 40 years ago and all those tapes are no
more, erased.
Again, an urban myth type of site debunking this.

When I think back to television back then, it was like Catholic High
Schools.
You could not even think about anything that dealt with body parts.
It's just not possible for this sort of thing to have happened.
But it is intriguing how difficult it is to find out the truth about
this.

The seven-second delay was in effect before this. The FCC was even more
censor oriented than now. You could not even hint about anything sexual
or intimate.

Fascinating how rumors become reality. I am sorry to rain on your parade.
There ain't no angels, I'm sorry. It's all made up, fabrications, like
this story.

Now if you want to talk about disembodied quanta of energy...