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I don't think, anyone will find tropes that come closer to it than the ones you already listed. If you think, this deserves a trope on its own, maybe catch some feedback in the Trope Idea Sounding Board
before taking it to the Launch Pad.
I however would think, that Fetch Quest already covers it sufficiently.
LOAD"WITTYFORUMSIGNATURE",8,1 FILE NOT FOUND ERRORI might do that, but I'm quick to get in my own head about these things, and I wanted to be certain that this didn't already exist somewhere that I'm overlooking.
I do think there's grounds for it as a specific subtype (much like how Herding Mission and 20 Bear Asses are explicitly defined), since the examples I'm thinking of have common traits that don't bring to mind your standard "bring the NPC a fresh bushel of plot coupons" fetch quest. Maybe it's because an NPC has a lot more say in whether or not they're fetched, so these will play out more like a game of Hide-and-Seek, and/or each NPC will need to be convinced — actually, I remember one of these in Final Fantasy XIV where you're rounding up farmhands and one of them tells you off and leaves instead, which becomes the hook for the next quest in the chain.

It's a subtype of the Fetch Quest that's a close cousin to the Herding Mission, but doesn't hit the same beats: One NPC is waiting for a group of others, and you need to find them all, talk to them, and send them back home. Some might be hiding out of sight, or require solving a puzzle to reach. In some cases they'll need to be convinced to head back, which leads to smaller sidequests nested within this sidequest.
You'll commonly see it as a parent waiting for their children to return home, or a boss whose workers have gone missing (especially if a Broken Bridge needs a whole crew to repair).
Comparing it to the tropes I looked at:
- It's distinct from the standard Fetch Quest, because gathering up Plot Coupons is usually more straightforward than playing a whole game of NPC Hide-And-Seek. After all, we expect (or hope) that an NPC is smarter than your standard inventory item, and so finding each one is usually its own little challenge.
- However, it's different from a typical Herding Mission, where the challenge is the minigame of getting the animal back to where it belongs. In these sidequests, once you've found the NPC and interacted with them, they'll usually just head to the destination on their own.
- Ditto on the Escort Mission. Or, well, on that note... sometimes they will actually follow you around (gathering troops in Final Fantasy VII Rebirth comes to mind), but this won't be part of the challenge. It'll be more of an abstract progress meter, if anything.
- It actually has a lot in common with Putting the Band Back Together, especially if the missing NPCs have enough character development. However, that's a trope for a whole narrative genre, whereas this is more about the mechanics of a quest setup.
Edited by Jaydeis