Thanks for your question. It looks like your daughter's in luck.
The theatre currently showing Rent is:
208 West 41st Street
New York, NY 10036
According to a press release, "Joey Fatone, who has achieved
international stardom as a member of the pop supergroup *NSYNC, joined
the Broadway production of RENT on Monday, August 5. He remains in the
show though Sunday, December 22."
Joey Fatone Makes Broadway Debut in Rent
The site below gives details about the original cast and replacements.
For replacements, click "Display replacement and/or transfer
information"--the popup with the data confirms that Fatone will be
with the show until December 22.
International Broadway Database
For more ticket information, you might want to check out the site
This one may also be helpful:
fatone schedule rent
I hope this answers your question. If you require additional
information, please ask for clarification and I'll do my best to