I am assuming you don't have a copy of her photo page anywhere?
HMRC told us that if they needed anything additional to the TOR application they would contact us. Personally, if you are short on time, I would go ahead and submit the application, get in the queue and assume they will contact you for it when they start to process your application. If you are long on time, you may just want to wait.
FYI, when we called last week, TORs were being processed at 17 days (calendar, not business). We called on the 26th and they were processing apps received on the 9th. If her passport won't be available in 17 days though, when HMRC presumably contacts you, you may be stuck and need to wait to submit regardless.