Some decent ideas there. Nothing that tickles my fancy more than 'Point Group' though.

I think I like "Colligo" best so far, but it needs to be something more familiar to most people.
Keep 'em coming.
It's difficult to come up with something that's fairly specific, but still covers the various cases.
I do use the word 'Gazetteer' elsewhere in the app and it is in the ballpark, but not quite right either. And these days I think many people are probably not familiar with the term.
hmmm... I should look it up in the thesaurus. Well that wasn't helpful. My thesaurus doesn't have it at all. Time for a new thesaurus!
heheh... just looked up an online thesaurus and clicked through a few words. I like "bevy"!
Probably the most practical so far though is 'Point Set' or 'Batch'. Not much different to 'Point Group'. Would be nice to find something that didn't include the word 'Point' but still implied a set of points.