That is amazing, @mrs! Fransciso has some great advice (and a beautiful poem too!)- maybe try staying up at 3am and see if there is something waiting for you, like the baby bat! I agree that this is just too much to be a coincidence, and there is some important meaning there that is trying to make itself known to you.
Dream Lookup suggests the following interpretation for a bat flying inside your house :
Envisioning a bat flying inside your house can be interpreted as a sign that you would need to move, leave or otherwise abandon your current residence due to unforeseen external forces. You may be forced from your house because it is no longer deemed safe by the government or because a natural disaster has destroyed it.
However, since you were actually awake when you saw the bat (as opposed to seeing it in your dream as a vision) it could be interpreted as an external sign, in which case you might consider the animal meaning of a bat . Spirit Animal has a whole page about possible meanings associated with bats, here is a snipet:
The Bat arriving in your life signifies an omen of change. He asks that you pay attention to signs around you. The transition may seem frightening at first, but you must let go of your old habits and patterns that no longer serve your higher calling. They will only hinder your growth.
On the flip side, if you have decided to use seeing 3am as your dream sign/reality check, then seeing that in your dream will alert your conscious to wake up . If you can stay inside the dream while your consciousness is awake, you may be able to lucid dream!
Whether you decide to follow a path to lucid dreaming or there are hidden truths waiting for you in the witching hour, it is very exciting @mrs! Best of luck and keep us updated