As a quick exercise, have everyone start the FamilyTree app on their phones and go to Menu > Relatives near me. You'd be surprised to find how many 8th and 10th cousins you have in the ward. Of course, that only works if they've gotten their own tree back several generations.
If you've got a tree that's "fully researched", then personally, I'd suggest going back and adding sources (look for the blue hints on the pedigree chart). Adding sources is painless (compared to traditional methods) and is how we verify the information is correct and no one is getting left behind. There's been a number of occasions where I've added a new name to a family because of adding sources and going where that information takes me.
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