I'm persistent and went to the library down the street. "Merriam Webster's Standard American Style Manual" shows this example:
the "Today Show"'s cohosts
the "Grand Dame's" escort
Conversely, I'm guessing we can do this with the first example above in single quote marks. Which do you prefer below - 1 or 2? Do both work in your opinion?
1. the 'Today Show''s cohosts
2. the 'Today Show' 's cohosts