Pretty sure your concept is flawed from the start.
It might sound nice as a 'what-if' scenario, but as soon as you get into any of the details, it falls apart and hopefully shows us why games and stories are typically focused on the people doing something.
Now, if you want something a bit more likely to succeed, you can make a "Damsel in Distress Simulator." From the get-go, you can start to think of gameplay mechanics like combing your hair, talking with guards, taking care of birds, etc etc. The ideas just flow, instead of trying to fit a square peg into a round hole.
In fact, this could loop around to your idea of helping the rescuers by opening up opportunities for the princess to sabotage her captors. You can have a Majora's Mask-like timer which keeps track of how far the knight is from saving you.
Any of the Warriors games (just don't buy it, don't reward them for releasing the same damn game 20+ times)
Legend of Mana (highly recommended, please don't sleep on this)
Destroy All Humans 2
Ratchet: Deadlocked
Divinity: Original Sin
Resident Evil 6
Halo: Master Chief Collection
Lego Star Wars
The Tales games are long and go up to 4 players. I'd recommend them if you have more people to join.
Be prepared for a few roadbumps while you acclimate yourself to using emulators. It won't be smooth at first, but it gets easier the more familiar you become with it.
Even better, if it supports LAN you can torrent it and with friends for free with a program such as Hamachi.