The Kid's doing a science fair project which is diagrammed as follows:

The power source is two nine volt batteries. The lights are all 2.5 volt lights, three in parallel and three in sequence.
We can't get all six batteries to light up at the same time (though the circuit's good) We can get the lights to light up in the series no problem, and we can get the parallel side to light up if we take some of the light bulbs out.
Would a bigger battery do it, or would that cause light bulbs to explode?
**Edit, diagram labeled with lots of letters in case you want to tell me where I should be adding more batteries, or something....
***Double Edit,
siliconshaman, no adding nuclear reactors for bonus points.
The power source is two nine volt batteries. The lights are all 2.5 volt lights, three in parallel and three in sequence.
We can't get all six batteries to light up at the same time (though the circuit's good) We can get the lights to light up in the series no problem, and we can get the parallel side to light up if we take some of the light bulbs out.
Would a bigger battery do it, or would that cause light bulbs to explode?
**Edit, diagram labeled with lots of letters in case you want to tell me where I should be adding more batteries, or something....
***Double Edit,