These reports are broken down by computer name.
Here are the things that access the internet, and what they are:

hammerbot: the family PC, located in the family room
flapjack, flapjackwireless: Tressa's laptop
waffle, wafflewireless: Eric's laptop
wallg, wallgwired: Gavin's eeePC
r2d2: Eric's DROID X phone
c3po: Tressa's DROID X phone
abba: the fileserver
buster, twitch, sloth, sweater, crafty, rosy, yardsale: xboxen
nyler: # Gavin's XBox 360

If there is an entry with no name (just an IP address like 192.168.6.105),
that means that it isn't a known computer. Probably a guest's.