Help on rules interpretation

[freejoe69]

High-school JV game with veteran officials. One out, runner on second base. Batter lines out to centerfield, runner gets caught up the line on his way to third. Throw from CF is low and off line to second base. 2B leaves bag, traps ball and secures it, then takes ball out of his glove (not sure why), and comes back to tag the bag with his glove, beating the runner. Base umpire called runner safe and said that glove was not an extension of the baseball. I looked this situation up on some other umpire sites and saw interpretations that were 180 degrees apart. Too late now, obviously, but I'm interested to know. Citations, please.