We are such hardcore Angels fans that we watched the Angels playing from our hospital room as we were waiting for our son to be born in late August, 2006. When I was struggling with a difficult labor I distinctly remember watching Jered Weaver get his first loss due to a homerun late in the game by David Ortiz. Even the epidural didn't help with that pain.  
Lucky for my husband our son was born via c-section the next afternoon, so by first pitch we were back in our room and my husband could show my son his very first baseball game, at 4 hours old.
Mason went to his first game 10 days later, to see the Orioles play the Angels at Angels Stadium on September 4th, 2006. He finally got to see the place that he had spent almost every night in utero at - as we have season tickets and went to almost every single game that summer I was pregnant with him.
That's pretty hardcore itself.