Without rewording the following sentence, would you concur with its punctuation (i.e., the possessive of titles in quote marks) exactly as it's written? I know that rewording it easily avoids this conundrum, but I cannot rephrase. “I Want to Hold Your Hand”’s lyrics were considered to be juvenile and infantile by many. Good?
The Chicago Manual of Style says to never make something in quotes a possessive. I don't think any other style guides actually say anything about this issue. Personally, I would rephrase it (which I'm sure is what most editors would do). But if you really don't want to rephrase it, I think the apostrophe + s would go inside the quotation marks. So it would be "I Want to Hold Your Hand's" lyrics.
This is beginning to feel like homework you are asking us to do for you. All the stipulations of not rewording and having to use the syntax as is are total red flags. Please have a review of our forum rules.
You really should just use the first thread you made to cover any of your punctuation issues instead of spamming threads :s