5:23 PM
> The problem is that even if we could,I don't see how we could identify our galaxy.
Yes, that is a tricky problem, even if you're "only" a couple of billion light years away. There are a few interesting questions & answers on that topic at various sites on the Stack Exchange network.
Eg, if you were somehow transported to some random destination in our observable universe, how could you navigate your way back home? If you have a good modern database of all the known quasars, and prominent stars & pulsars of the Milky Way, it's not too hard. But if you're also transported to same random time it gets a lot harder.