[quote=@Gordian Nought]
LOL! What time of day is it? And how many hours until we have to decide to forgo a long rest? (ಡ艸ಡ) 
[/quote]

I would say it's about 11:30 PM right now (In Game Time). So that thing is going to hatch thirty minutes after the museum opens and the people there to see the stone will be there when it hatches.