While reflecting on these this possibility, I was suddenly inspired to see what the northern sky might have looked like the morning I was born. As luck would have it, there is a nifty online application at Space.com called Starry Night Online. The configuration options allow you to pick everything from your exactly latitude and longitude to the date and time of your view. I chose July 25, 1969, at 3:15 a.m. (I was born at 3:10 a.m., but this was as close as I could get using the online applet).
Here's the view of the northern sky the morning of my birth, as seen in Salt Lake City, Utah (click the image to enlarge):
With the stars labeled: