Leaving Ireland During the 90 Day Period
George - I am going to assume you are Irish?
If so, then once you attend in person at a GNIB office, your wife should have her approval soon after if everything is in order. I suggest reading what others have described here (from Cfin, Mairead, Kate, Kelsey). It should add some clarity to the process.
Check out my extremely useful Moving to Ireland FAQ Guide!
@userid mention someone if you'd like to get their attention.