Dear
Varda,
As you enter the kitchen, you see three skeletons ... one Elvish, the other of the race of Man fallen, another Orcish, where they struggled in battle. An nearby axe to this day bears dried black blood dating from the Second Age. (For the purposes of background information, the Elvish skeleton is that of Tella the Cook, and the other skeleton near the axe is that of Anna.)
Below is a picture of what the kitchen looks like. I've actually been inside this kitchen, for it is part of the French Castle at Old Fort Niagara in Youngstown, New York, which still stands. (They've cleaned the kitchen up a bit since taking the picture, btw, ... I've eaten inside this very kitchen while re-enacting the Siege Battle of 1759.)
There are no closed doors leading to other rooms from this kitchen ... however, there is another opening. This other opening leads East, back out to the Inner Courtyard and the front of the Castle.
Gandalf the Grey