Congrats!
My daughter was born on opening day of bow in WV 3 years ago. I was up at the farm hunting....my wife was 2 weeks away from her due date. She went into labor really early that morning, and by the time I actually got the message (long story)...I darn near missed it. Showed up at the hospital with about an hour to go...in my camo's
She wasn't upset though...SHE told me to go hunting..."that there was no way the baby was coming yet...and not to worry about it" . LOL...typical

The good thing you have going for you is that you already have kids. So it's not a totally new thing for her. She'll probably let you go. I know if I didn't have a son already, NO WAY would she have let me go. Congrats again