Captain Tim's spaceship was the main location featured in "The Pet". Wander and Sylvia went in there so they could help save anybody, but everybody was already dead thanks to Captain Tim. It was destroyed by the end of the episode.
The spaceship had a dark color, probably dark pinkish, and a few blue windows. It also had three wings: two on the sides, one under.
Inside the spaceship had a lot of rooms that were necessary for survival: a kitchen, a main control room, etcetera. Most of the interior was presumably destroyed or damaged.