You exit the map room through the door you came in. At Carrach's behest, you turn right into a lightly furnished room. A cot is against the northeast wall and a wooden chest with a dented lantern sits next to it. The lantern is lit, a sliver of light escaping from its shutters and lighting the room. Rats, burnt tindertwigs, and broken stone litter the floor. A five-foot diameter tunnel carves its way into darkness from the eastern wall.
The tunnels themselves are rough and narrow, making life difficult for the party's broader members. It heads east five feet, turns north for about twice that, and then back east. One side tunnel heads off to the south about fifteen feet ahead of the second turn, with another heading to the north five feet after that. The main tunnel continues off into the darkness in the east.
OOC: Basically, the party left the map room to the north, took an immediate right just south of the pit, then went through the eastern tunnels.