adafruit industries

I am in the midst of product development and I am looking for something that will turn on a single diode led for 1-3 hours each day at a specified time or time range. Example, light turns on at 5am and off at 6am every day. I see a couple of power break outs, but understand they are 100ms to 2-3 hours tops. I would want this to be on for 1-3 hours and off for 21-23 hours. I want this to be a very small product overall, say 2" square x 1" deep. The flatter the better. I also want the battery life to be as long as possible, preferably lithium 3V or their abouts. Any guidance or product suggestions is greatly appreciated! You can probably tell that I am a novice when it comes to electronics.

Thanks,
Billy