You can take 10, but not 20 on a gather info check, since each roll represents several hours of investigation, and there are only so many hours in a day.
I'll make some rolls for those who haven't done so yet.
So far, Jan rolled an 11, then took 10 for a 19 in searching for info on Aldern Foxglove.
Time spent in hours:
check 1, check 2:
Dice Roll: 1d4 1d4
d4 Results: 3
d4 Results: 3
Veritas rolled a 14 looking for information on the missing guard.
time spent:
Dice Roll: 1d4
d4 Results: 2
Aegon rolled a 7 for information on the deceased father Tobyn and the fire, adjusted upward by 4 to an 11 if he includes 1 gp to Niska for info.
time spent:
Dice Roll: 1d4
d4 Results: 2
He also aided Sai in her effort to do the same. See her rolls for time spent on that.
Sai's roll for info on Tobyn:
diplomacy, time spent:
Dice Roll: 1d20+7 1d4
d20 Results: 7 (Total = 14)
d4 Results: 2
In fairness, there wasn't much to be learned about the wagon, so I'm putting Gozzik's roll toward Father Tobyn.
intimidate, time spent:
Dice Roll: 1d20+6 1d4
d20 Results: 8 (Total = 14)
d4 Results: 2
Same goes for Brego. I'll put his roll toward info on the missing guard.
diplomacy, time spent:
Dice Roll: 1d20+8 1d4
d20 Results: 15 (Total = 23)
d4 Results: 1