If you wanted to do this, you need: a) DC to AC power inverter capable of handling the power; b)a electrically strong enough connector to handle the current; c) wires of a gauge sufficient to handle the current (amps).
If you want to add a solar charger, make sure you have the potential for current to flow, otherwise you won't charge your battery. So, if you are going to charge an automobile battery_which is 13.3v, nominal you would need at least a charger capable of producing 14.4 volts. This would yield a 1.1v potential for current to flow. I would search for a solar charger capable of 'generative current' something like 17v and 1amp output. This would not yield a fast charge but it would certainly slow down the discharge process if hooked up to the battery at the same time the lights were connected_of course you'd need a small circuit to prevent problems.
An easier way would be. Go find a used 'UPS' Uninterruptible Power Supply from a computer shop that needs a battery. Replace the ac input with your solar and use your car battery instead of the small one inside the unit_remember to increase gauge of wire from battery to UPS. Then plug your cfl's right into the socket on back of power supply. You want a UPS and not an SPS. UPS always has the inverter running. SPS doesn't.
