Jelliot523, please take solace in the fact that you are not alone here. Last year, my wife invited our nephews to spend a few weeks with us for the summer and provided them with a virtual rainbow of glowsticks to keep them entertained. I should have known there was trouble afoot when the sound effects of their "light sabre battle" came to an abrupt halt, but I was foolish enough to remain on the couch. The seven year old came inside and explained that his brother had broken his lightstick and tossed it on to the coffee table. The problem with kids that young is that they are fast little buggers; he was out the door before I could react. The green glowing goo from the shattered tube ate the finish, stripping a six inch long stripe down to bare wood.
My solution was to scour down the area with 00 steel wool and then I used a stain pen I picked up at the hardware store. While the samples I had looked to be the same shade as the rest of the table, the stuff inside the pen just wasn't close enough to make a decent match. So, I resanded and tried a can of stain which my wife deemed "good enough", but the results were the same - close, but no cigar.
So, I'm also stuck with the possibility of having to strip the entire table. If you and I can find some advice here, I'm willing to try it. However, if we are stuck having to go the hard route, I will be more than happy to send along two nephews who will have learned to sand and refinish to help you find a way out of the dog house!