As already discussed, more information is needed.
But there is more. You mentioned that you are going to use the battery to power LED lighting. How much will you be discharging the battery? Are you going to use a Low Voltage Detector (LVD) to disconnect the load (LEDs) if the battery voltage drops below (or to) a specified level? You will need to do this, if you are using a Sealed Lead-Acid (SLA) type battery (or other lead-acid type battery), or else you could damage the battery.
If you are using Ni-CADs or NiMH batteries, you may get away with discharging them to lower voltages (and not having to use a LVD).
So... more details, please.
As for what I am doing... I have a 21-Watt solar panel, a PWM charge controller, and a 12-volt 17Ah battery hooked together. The battery has been keeping up pretty well for over a year now.
I have three 5-watt Hi-Power LEDs hooked up as the 'load' for lighting my living room at night. My LVD board is something that I designed and built, and it works very well.
So - yes. It is possible to design a small-scale lighting system.
This sort of lighting also comes in handy for power outages. You will have lighting - when very few others in the neighborhood have anything to see with.
Regards,
James