It's a good way to start the adventure, but I fear the glory is fleeting. Here's the game score for posterity:
2006-04-01 -- Revised based on Patrick's comment (thanks)
RBHawkins (UNR) vs. chesemc (1288) --- Sat Mar 25, 19:25 CST 2006
Rated standard match, initial time: 27 minutes, increment: 0 seconds.
Move  RBHawkins               chesemc            
----  ---------------------   ---------------------
  1.  e4      (0:00.000)      e5      (0:00.000)   
  2.  Nf3     (0:02.656)      Nf6     (0:02.359)
  3.  Bc4     (0:08.953)      Nxe4    (0:04.172)   
  4.  d3      (0:09.062) 
I was obviously not prepared for this opening, and this is because I spend too much time playing against the computer. My reaction to the situation is a typical weakness for me. When I encounter something new, I get flustered and don't spend enough time thinking about the position. If I had simply said, "OK, we're now in the middle game" and LOOKED at the position, I might have come up with a more sensible move (like 3. Nxe5, or even 4.Nxe5.)
  4.                          Nf6     (0:02.656)   
  5.  O-O     (1:23.843)      d5      (0:13.250)   
  6.  Bb3     (1:00.203)      e4      (0:05.719)   
As Patrick pointed out, this was a big break for me, although I didn't see it at the time. Either 6. ...Nc6 or 6. ...Bd4 would have left me in bad shape.
  7.  dxe4    (1:50.297)      dxe4    (0:10.610)   
  8.  Qxd8+   (3:09.891)      Kxd8    (0:07.016)   
  9.  Ng5     (0:37.484)      Ke8     (0:41.438)   
 10.  Bxf7+   (1:30.015)      Ke7     (0:08.921)   
 11.  Nc3     (0:48.454)      h6      (0:06.953)   
A foolish blunder on my part, caused I think by not spending the effort to look at all of Black's possible threats. This should have been easy to spot.
 12.  Bc4     (3:56.625)      hxg5    (0:08.735)   
 13.  Bxg5    (0:31.500)      Nc6     (0:53.906)   
After this move, the positions are actually about even (!) because of this nice little combination: 14. Nd5+ Kd7 15. Bxf6 gxf6 16. Nxf6+ Ke7 17. Nxe4. Of course, I didn't see this at the time.
 14.  Rfe1    (1:13.266)      Ke8     (2:03.172)   
 15.  Rad1    (1:42.813)      Ke7     (0:22.922)   
This is the game-loser. As they say, the winner is the one to make the next-to-last blunder. 
 16.  Rxe4+   (0:58.343)   
      {Black resigns} 1-0
As I said at the top. I don't expect to win many games this way. I'm intending to improve my ability to avoid the kinds of foolish mistakes I made in this game. I want to make mistakes that are much more profound and insightful!