This is the game I playd against a much higher rated player (around more than 600 points). It is an interesting game played at my local club- and had it not been the #%(&@&*@!$ clock, I might have had a chance to win! (I must have a natural talent for losing on time - this is definately not the first time this has happened!) 

I was playing white by the way...

First, why were playing on the clock? Was it mandatory? The reason is when your placed on a clock like in tournaments and people are not use to the clocks they feel overwhelmed and tend to rush through their game. It took me a long time to adjust to a clock, but if I can finish a game without one, I'm all for it.

Looking back at your game, a few minor mistakes, but all-in-all a well-played game that you have shown here today.

What did you play after the final position?  37. Nh7 looks very strong (a couple of variations in the move list):

Very interesting game of yours. Congratulations!  What is one of very good things, when playing against much stronger opponent - you can do anything, you can improvise, you can risk with total calmness, like you did, because you know that losing is natural final for such game, so there is no regrets or rating falling or etc. So you did the best choice - found so interesting sacrifice and let yourself proceed with that.  Be sure to do this next time, dont matter the clock.

You lost mainly not because time, but because you didnt know what to do, how to win this position, and from that you was losing too many extra time in attempts to find the solution. While you could save the huge amount of time, if you were already prepered and knew what to do. That is what makes the huge differents in rating. For example you should play 18. g6-g7! Becase g8 square dont contolled by black's bishop, that is one of basic endgame knowledges, so your treats to place a queen at g8 would reduce blacks activity more than it was in a game. Also in such positions you should almost with any cost avoid trading queens, that is also one of the basics. So when you will know all that (and all other) you became +600 rating player by yourself.

Which good lines you did miss in your game you better ask fritz or rybka (or any), because this position is strictly concrete and engines will show you all lines and possibilities very clear and precisely till the last winning move. If it will be any chessbase program then just open the infinite analysis window, make it wide to see long lines and add a lot of simultaneous lines to show, and then procced through the game moves.

37.Nh7, I think Rf5 would be better than Rd8, when the rooks threatens both Rf1# and stop the white rook from getting behind the dangerous passed pawn. 

For some time, after the final position, I just moved my rook and back and forth for a while.

This was an OTB tournament game, so the clock was mandatory (dang it!). I realize that the clock is not the only reason why I lost (as Catalyst pointed out), but very unfortunately, I am not special enough to play without a clock when everyone else in the room is playing with one : )!