What's the name of the spaceship in Alien?

I know what you're thinking — Alien is in space?

Believe it or not, this 1979 sci-fi-horror epic did indeed, take place in space. (I should have worked in a Ripley joke there — the believe it or not thing... get it? Yeah? Fine.)

In fact, most of Alien takes place inside a single spaceship. Do you remember what that ship is named?