Aboard a wooden sailing ship, fire is a major concern. There was usually an area with bricks on which a fire could be built for cooking. There would not be a separate room for that.
Most meals weren't cooked, they were prepared, but when they were cooked, they were cooked in the "forecastle" of the ship. This is forwards the front and right off the deck on the same level.
the galley or kitchen
The kitchen on a ship is kmown as the Galley.
Meals weren't cooked on ships in this time. There was too great a chance of the ship catching fire. The crew ate dried meat, water, and hard tack.
buffalo
The kitchen on a ship is kmown as the Galley.
The mayflower is a ship
That would be the galley.
the mayflower
after a female
It is about 103 people aboard the Mayflower ship!
On military vessels the room where the officers met and ate their meals is called the Ward Room.