Here's a nifty little reference thing for people curious about how cooking was done on wooden sailing vessels. I was at a museum in Amsterdam a few years back and one of their exhibits was this gorgeous ship.
And this is the kitchen/cooking area:
The entire thing is bricked in and has flagstones on the floor, so if any sparks/flames leaped out, the wooden deck and sides of the ship were shielded by brick and stone. It was an entirely non-wood alcove in an otherwise entirely wooden ship.
No idea if this was the case for all ships of this era, let alone any other wooden ships, but I love the practicality of it.
Also some bonus pictures of the rest of the ship because it's very spiffy.