Summary

Useful nightlight with 45° angle which can be used as reading light (mountbase for bed required).

Powered by 9V (rechargable) battery block.

In the pictures I showed the required materials as well as the inside assembly. It can be a bit fidely to fit everything inside, but it worked just fine for me. You have to watch to isolate everything well to prevent short circuite. Glue can be used to fix the LEDs in place. I used the following materials:

9 V battery
4 LEDs: White, 5mm diameter, 2.8V~3.2V, 30mA
1 Resistor (I suggest 200 Ohm per LED, so it should have 800 Ohm if you use only 1)
9V Battery connection cable (loose ends)
Isolating tape
On-/Off Button round 12mm diam
Glue for top Lid + LEDs (Lid2)
Extra wiring

I suggest you cut the LED legs short and use flexible wires instead since you will have to bend those a lot to get everything in place.

Have fun.