In Alien 3, Ripley reviewed the ship logs and saw an alien infect her while hibernating. She got the face-hugger treatment as usual.
Ripley wanted to kill it with fire. She said, "Do we have the capacity to make fire? Most humans have enjoyed that privilege since the Stone Age.".
She died as a chest-burster actually bursted her chest at the end. She jumped/fell into a pit of fire and held it close to her so it couldn't escape. They died together on the prison planet.
In Alien 4, they used some of her DNA to reconstruct an alien/human hybrid.
If you Google "Alien Ripley Facehugger" you'll see the broken hibernation chamber window as well as a couple of pictures of Ripley fending off a face-hugger or two (legitimizing my original Spock and Kirk meme). She can be seen resisting them trying to hug her face in at least two I saw.
Anyway, if you also google "Alien Ripley chestburster" you will see the fire pit scene I mentioned with the little fella erupting as she falls backwards into the flames.
Here's one of the face-hugger pictures that could possibly legitimize the original meme...