The signal fire went out when Jack made Samneric leave the fire duty to go hunting. It also goes out when Samneric "see the beast".
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Ralph spoke. "You let the fire go out."
the fire will go out and can not cook !
The hunters were responsible for keeping the signal fire lit but, they in Chapter 4 they let it burn out which destroyed an early survival because a ship went past.
In "Lord of the Flies," the morning meeting saw the boys willing to exhibit discipline and responsibility about what needed to be done to assure they worked together as a team, and did all they could to get rescued. By evening, Jack and the hunters return with their prey, and everything goes out of control. First of all, they let the signal fire go out, and when Piggy calls them irresponsible, Jack physically assaults him.
Taken at face value the title simply refers to the lighting of the signal fire on the mountain top. It could also refer to the fact that the signal fire got out of control and set fire to a pocket of trees on the mountain side. However as symbolism is often used in Lord of the Flies the title could refer to beacon fires which were lit during war time as a warning that the enemy was approaching. This might be a veiled allusion to the fact that things were already beginning to go wrong on the island and the first cracks in their society had begun to appear.