Lishkas Hanezirim - Chamber of the Nazarites

A Nazarite is one who takes an oath that he will not cut his hair or drink wine (or any grape product) for a specified amount of time.
The Torah requires a Nazarite to bring 3 Karbanos (sacrifices) to the Beis Hamikdosh after fulfilling his pledge.

One of these sacrifices, the "Shelamim" offering was cooked in this chamber.
The Nazarites then had their hair clippings tossed into the fire over which the "Shelamim" offering was cooking.