Uppercase after apostrophe on first word?

Note, the apostrophe(s) are a part of the song title!

Example:
" 'it's Not A Side Effect Of The Cocaine, I Am Thinking It Must Be Love' "

Wanting:
" 'It's Not A Side Effect Of The Cocaine, I Am Thinking It Must Be Love' "

When I do a replace it will make the word become "'It'S" instead of "'It's"
How would I got about this for just the first letter of the song title after the apostrophe?
I'm sure someone will look at me and be like "a-DUH", but it's stumping me!
I want this to be variable, since the word will not always be "'It's".. thanks in advance!

EDIT: 3 days later...
Another example would be: "Say 'bye' ..." // I'd want "'Bye'" to be capitalized.

Are you using case conversion including words beginning with ' ?

After you run that you could run another action to undo the mistakes

e.g.
Replace with Reg Exp
(\S)'(\S)
$1'$lower($2)