so how the heck did the baby get born while time was standing still? I'd come back after playing another lot for a few sim days to find that the parents had missed out on the whole process and had a new crib with a randomly named baby. It annoyed me that played sims that were pregnant would complete their pregnancy while I was playing another lot, even though I had aging for played sims set to the current household only. Use only one version of the mod - the normal version will issue a notification when a paused pregnancy is ready for delivery, and the no alert version will simply pause the pregnancy prior to delivery without notifications. Version 3 of the mod adds a button on the notification to enable you to allow the delivery to proceed without having to switch to the other household if you choose.
Updated 11-18-2018: - The mod has been updated to be compatible with the latest game patches (The Sims 4 version 1.47.49, Nov 13, 2018).