A rechargeable 6 volt battery is actually 4.8 volts. That is why I recommended a 3 cell bulb.
Rechargeable 6 volt batteries can maintain brightness longer. They can maintain more current (amps) than heavy duty or alkaline cells. Some body help me out here!
Your light wouldn't be brighter with a 3 cell mag bulb for example, but it would stay bright longer than with a heavy duty battery. There is a big difference in the way a rechargeable battery maintains brightness compared to a heavy duty cell.
You might want to try some bulbs from CarleyLamps, but I think they have a $50 minimum order. These would be much brighter than standard bulbs. Much brighter!!!!!!! Heavy duty cells can not provide the curreny these bulbs need.
http://www.carleylamps.com/star.htm
Rechargeable batteries weigh more than heavy duty or alkaline batteries.
edit to provide better link. You would want a 4 cell rechargeable lamp, something like the 1181 or 1182 maybe. If you go this route you would need to call Carley and have them pot the lamps. This means that you would have them "pot" the bi-pin lamps in to a PR base so that they will fit your lantern. Tell them you are using a plastic light. They can tell you which lamp to use, some of these lamps will melt a plastic lens or reflector. Yes they are that bright!!!!!!