This is a neat idea for a forum game, I like it.
If my place can be a time in the past, then it's the 1994 Winter Olympics in Norway, if not then Hârlău, a small Romanian town of about 12,000 people.
My team is;
Carl Linnwood Beck (Again pulled from the past, a professional football player from 1921-26)
Bunny Campione (Was on Antiques Roadshow on BBC for 20+ years)
John Samuel McConnell (Former Major League Baseball pitcher for the Atlanta Braves-2004)
So apparantly my zombie apocalypse has a group of random time-travellers who ended up in Norway to watch the Winter Olympics. I imagine Bunny found a time machine on one of her roadshow pieces, probably sold to her by McConnell, who acquired it during some drunken post-game escapade. So Bunny decides to test the machine, and McConnell hops in with her for shits and giggles. Because Bunny is into Antiques, she hopes back to the 1920's, and tries to get a football jersey, and somehow convinces Beck to come along and party with her in her time machine. For some reason they end up coming to the 1994 olympics, presumably because Bunny enjoys watching speed skating, and shit goes down. They end up having to escape from the ice rink, Beck carrying Bunny on his shoulder as he charges through the crowd, while McConnel watches their backs armed with a baseball bat.
A high speed chase occurs on the luge, with several survivors attempting to get to the bottom to a waiting helicopter before the horde of Zombie Olympiad viewers descend the mountain. The three time travellers are unfortunately killed when their luge skips out of the track, flips over and skids into a ski lodge. Only Bunny is killed instantly on impact, due to her age and general frailty, whereas Beck and McConnel fight off the horde from the cabin for as long as they can, eventually succumbing to the persistent attack.
The time machine itself is thought to be destroyed in the airstrike which was called in to purge the area of the infected, but it only waits, 10 years, to be discovered by a drunken norweigan youth who sells it to a vacationing James McConnell, starting the tragic cycle anew.

That was fun.
EDIT: Just realized I was supposed to include myself at some point.... Meh, I'm there during the antique roadshow piece trying to appraise an old clock my dad had, and I'm in intrigued by an antique time machine so I get in with those two, curious to see what blinky lights it has. I unfortunately do not live long during the zombie apocolypse, as I cannot skate and was quickly consumed when I broke a leg trying to cross the ice with the other three.