Nixon's secretary's name was Rose Mary Woods, often misspelled as Rosemary. Here's an article about her at Wikipedia, showing her picture on a TIME Magazine cover. She died this year.

I found a song called IF I HAD A FRIEND LIKE ROSEMARY WOODS written and recorded by Bill Horwitz on his album "Lies, Lies, Lies," 1993. From a sound sample:

If I had a friend like Miss Rosemary Woods,
How simple my life would be!
I'd just give all my problems to Rosemary Woods
And she would erase them for me.
Each time I was wrong, or each time that I lied,
Or somebody made me scared,
I would simply report them to Rose Mary Woods
And she would make them disappear....