I'm new and still learning, but...
It's my understanding that input voltage should be about 10% over nominal. A 12-volt car battery is charged by a 14 volt alternator, Dan's 48 volt RE pack is occasionally charged by a steam-powered PMA that puts out 54 volts, etc.
Since a laptop can be charged by a 12-volt car socket charger, any 12-volt supply could be connected to a car-charger adapter.
When it comes to RE home batteries, bigger is better. For a small briefcase 12-volt battery you can get good info over at "endless-sphere.com" they experiment with electric bicycles.
The cheapest, heaviest, largest, and shortest range batteries are Sealed Lead Acid (SLA). Each type upgrade has a smaller size/weight, and better range (each type also has a bigger price!). Next is NiCD's, then NiMH, then the best that's easily available is lithium, but there are several lithium types, the great new ones you want are LiFePO4. Several cylinders can be found inside DeWalt cordless tool battery packs.
http://endless-sphere.com/forums/viewtopic.php?t=2498
Several can be attached in series to reach the desired 12-volts, then attach the 12-volt series strings in parallel to gain additional amp-hour battery time.
Take everything I say with a large grain of salt, but I would guess a 14-volt solar panel could charge a 12-volt LiFePO4 battery pack. If you're good with a soldering iron, you can get a free schematic for a custom smart charger (turns off when full), or the guys at e-bike.ca will make one for a price. A custom 12-volt battery like this should be able to power your laptop through the standard car charger.