light (something) with (something)
1. To ignite or set fire to something with some incendiary means. If you prepare your fire properly with kindling and newspaper, you should be able to light it with a single match. The chainsmoker lit a fresh cigarette with the end of his last one.
2. To use something in order to cover or fill some space with light. We had to light the entire house with candles after the electricity went out. Police lit the building with floodlights in order to see every single window.
light something with something
1. to set something afire with something else. Kelly lit the fire with her last match. I will light the fire with a cigarette lighter.
2. to illuminate something using something. She lit the room with a few candles. We lit the Christmas tree with colored lights.